PCA
library(readr)
cancer <- read_csv("/Users/batul/Desktop/MVA/LUNGCANCER3.csv")
## Rows: 309 Columns: 18
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (18): LUNG_CANCER, GENDER, AGE, SMOKING, YELLOW_FINGERS, ANXIETY, PEER_P...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
str(cancer)
## spc_tbl_ [309 × 18] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
## $ LUNG_CANCER : num [1:309] 1 1 0 0 0 1 1 1 0 1 ...
## $ GENDER : num [1:309] 0 0 1 0 1 1 0 1 1 0 ...
## $ AGE : num [1:309] 69 74 59 63 63 75 52 51 68 53 ...
## $ SMOKING : num [1:309] 1 0 1 0 1 1 0 0 0 0 ...
## $ YELLOW_FINGERS : num [1:309] 1 0 0 1 1 1 0 1 0 1 ...
## $ ANXIETY : num [1:309] 1 0 0 1 0 0 0 1 1 1 ...
## $ PEER_PRESSURE : num [1:309] 0 0 1 0 0 0 0 1 0 1 ...
## $ CHRONIC_DISEASE : num [1:309] 0 1 0 0 0 1 0 0 0 1 ...
## $ FATIGUE : num [1:309] 1 1 1 0 0 1 1 1 1 0 ...
## $ ALLERGY : num [1:309] 0 1 0 0 0 1 0 1 0 1 ...
## $ WHEEZING : num [1:309] 1 0 1 0 1 1 1 0 0 0 ...
## $ ALCOHOL_CONSUMING : num [1:309] 1 0 0 1 0 0 1 0 0 1 ...
## $ COUGHING : num [1:309] 1 0 1 0 1 1 1 0 0 0 ...
## $ SHORTNESS_OF_BREATH : num [1:309] 1 1 1 0 1 1 1 1 0 0 ...
## $ SWALLOWING_DIFFICULTY: num [1:309] 1 1 0 1 0 0 0 1 0 1 ...
## $ CHEST_PAIN : num [1:309] 1 1 1 1 0 0 1 0 0 1 ...
## $ WEIGHT : num [1:309] 113 136 153 142 144 ...
## $ HEIGHT_INCH : num [1:309] 65.8 71.5 69.4 68.2 67.8 ...
## - attr(*, "spec")=
## .. cols(
## .. LUNG_CANCER = col_double(),
## .. GENDER = col_double(),
## .. AGE = col_double(),
## .. SMOKING = col_double(),
## .. YELLOW_FINGERS = col_double(),
## .. ANXIETY = col_double(),
## .. PEER_PRESSURE = col_double(),
## .. CHRONIC_DISEASE = col_double(),
## .. FATIGUE = col_double(),
## .. ALLERGY = col_double(),
## .. WHEEZING = col_double(),
## .. ALCOHOL_CONSUMING = col_double(),
## .. COUGHING = col_double(),
## .. SHORTNESS_OF_BREATH = col_double(),
## .. SWALLOWING_DIFFICULTY = col_double(),
## .. CHEST_PAIN = col_double(),
## .. WEIGHT = col_double(),
## .. HEIGHT_INCH = col_double()
## .. )
## - attr(*, "problems")=<externalptr>
attach(cancer)
## The following objects are masked from cancer (pos = 22):
##
## AGE, ALCOHOL_CONSUMING, ALLERGY, ANXIETY, CHEST_PAIN,
## CHRONIC_DISEASE, COUGHING, FATIGUE, GENDER, HEIGHT_INCH,
## LUNG_CANCER, PEER_PRESSURE, SHORTNESS_OF_BREATH, SMOKING,
## SWALLOWING_DIFFICULTY, WEIGHT, WHEEZING, YELLOW_FINGERS
#Load packages
library(lattice)
library(ggplot2)
library(ggridges)
library(ggvis)
library(ggthemes)
library(cowplot)
library(gapminder)
library(gganimate)
library(dplyr)
library(tidyverse)
library(grid)
library(gridExtra)
library(RColorBrewer)
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
cancer_pca <- prcomp(cancer[,-1],scale=TRUE)
cancer_pca
## Standard deviations (1, .., p=17):
## [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
## [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
##
## Rotation (n x k) = (17 x 17):
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING -0.0430283442 0.003424731 0.31567559 -0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC_DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS_OF_BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING_DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST_PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING 0.52742230 0.22454151 -0.15463295 0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC_DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS_OF_BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING_DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST_PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING -0.339753798 0.456246291 0.21657468 0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC_DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS_OF_BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING_DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST_PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING -0.17075516 0.24864171 0.03445354 0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC_DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS_OF_BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING_DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST_PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING -0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC_DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS_OF_BREATH -0.11319831
## SWALLOWING_DIFFICULTY 0.30009780
## CHEST_PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
summary(cancer_pca)
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
#* Standard deviation: The standard deviation indicates how much of the variance in the original data is captured by each principal component. The first principal component (PC1) has the highest standard deviation of 1.6925, which means it accounts for the most variation in the original data. As we move down the list of principal components, the standard deviation decreases, indicating that each subsequent component captures less and less of the overall variation.
#* Proportion of variance: The proportion of variance indicates the amount of variance in the original data that is explained by each principal component. For example, the first principal component (PC1) explains 16.85% of the total variance in the data, while the second component (PC2) explains an additional 11.52% of the variance. As we move down the list of principal components, the proportion of variance explained by each component tends to decrease.
#* Cumulative proportion: The cumulative proportion indicates the total amount of variance in the data that is explained by each principal component and all of the preceding components. For example, the first principal component (PC1) captures 16.85% of the variance in the data, while PC1 and PC2 together capture 28.37% of the variance. The cumulative proportion can be useful in determining how many principal components to retain for further analysis.
# sample scores stored in cancer_pca$x
# singular values (square roots of eigenvalues) stored in cancer_pca$sdev
# loadings (eigenvectors) are stored in cancer_pca$rotation
# variable means stored in cancer_pca$center
# variable standard deviations stored in cancer_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_cancer <- cancer_pca$sdev^2)
## [1] 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405
## [8] 0.8911585 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084
## [15] 0.4035160 0.3189926 0.2769370
names(eigen_cancer) <- paste("PC",1:17,sep="")
eigen_cancer
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405 0.8911585
## PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084 0.4035160 0.3189926
## PC17
## 0.2769370
# The number 2.8645733 in the first row and first column means that the first principal component explains 2.8645733 units of variance in the data. The number 0.2769370 in the last row means that the 17th principal component explains 0.2769370 units of variance in the data. We can see that the first 7 principal components explain a cumulative proportion of variance of 0.66548, so we might choose to retain those 7 components.
sumlambdas <- sum(eigen_cancer)
sumlambdas
## [1] 17
propvar <- eigen_cancer/sumlambdas
propvar
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## 0.16850431 0.11515164 0.09932991 0.08662040 0.07668185 0.06305315 0.05613767
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## 0.05242109 0.04798150 0.04202885 0.03725005 0.03446233 0.03122113 0.03036520
## PC15 PC16 PC17
## 0.02373623 0.01876427 0.01629041
# The values indicate that PC1 explains the most variance at 16.85%, followed by PC2 at 11.52%, PC3 at 9.93%, and so on, down to PC17 at 1.63%. These values indicate how much information each principal component carries and can help in determining which components are most relevant for analysis. In this case we can take 7 components for our analysis
cumvar_cancer <- cumsum(propvar)
cumvar_cancer
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 0.1685043 0.2836559 0.3829859 0.4696063 0.5462881 0.6093413 0.6654789 0.7179000
## PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## 0.7658815 0.8079104 0.8451604 0.8796228 0.9108439 0.9412091 0.9649453 0.9837096
## PC17
## 1.0000000
# Here, PC1 alone explains 16.85% of the variance, while the first two principal components combined (PC1 and PC2) explain 28.37% of the variance, and so on. This cumulative proportion of variance can be useful for determining how many principal components to include in further analysis. We can see that the first 7 principal components explain around 71.79% of the total variance.
matlambdas <- rbind(eigen_cancer,propvar,cumvar_cancer)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## Eigenvalues 2.8646 1.9576 1.6886 1.4725 1.3036 1.0719 0.9543 0.8912
## Prop. variance 0.1685 0.1152 0.0993 0.0866 0.0767 0.0631 0.0561 0.0524
## Cum. prop. variance 0.1685 0.2837 0.3830 0.4696 0.5463 0.6093 0.6655 0.7179
## PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## Eigenvalues 0.8157 0.7145 0.6333 0.5859 0.5308 0.5162 0.4035 0.3190
## Prop. variance 0.0480 0.0420 0.0373 0.0345 0.0312 0.0304 0.0237 0.0188
## Cum. prop. variance 0.7659 0.8079 0.8452 0.8796 0.9108 0.9412 0.9649 0.9837
## PC17
## Eigenvalues 0.2769
## Prop. variance 0.0163
## Cum. prop. variance 1.0000
# Here, the first PC has an eigenvalue of 2.8646, which explains 16.85% of the total variance in the data. The first two PCs combined explain 28.37% of the variance, and the first seven PCs combined explain 71.79% of the variance.
summary(cancer_pca)
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
cancer_pca$rotation
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING -0.0430283442 0.003424731 0.31567559 -0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC_DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS_OF_BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING_DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST_PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING 0.52742230 0.22454151 -0.15463295 0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC_DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS_OF_BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING_DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST_PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING -0.339753798 0.456246291 0.21657468 0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC_DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS_OF_BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING_DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST_PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING -0.17075516 0.24864171 0.03445354 0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC_DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS_OF_BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING_DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST_PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING -0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC_DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS_OF_BREATH -0.11319831
## SWALLOWING_DIFFICULTY 0.30009780
## CHEST_PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
print(cancer_pca)
## Standard deviations (1, .., p=17):
## [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
## [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
##
## Rotation (n x k) = (17 x 17):
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING -0.0430283442 0.003424731 0.31567559 -0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC_DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS_OF_BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING_DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST_PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING 0.52742230 0.22454151 -0.15463295 0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC_DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS_OF_BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING_DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST_PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING -0.339753798 0.456246291 0.21657468 0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC_DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS_OF_BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING_DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST_PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING -0.17075516 0.24864171 0.03445354 0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC_DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS_OF_BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING_DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST_PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING -0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC_DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS_OF_BREATH -0.11319831
## SWALLOWING_DIFFICULTY 0.30009780
## CHEST_PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
# The numbers indicate the correlation between each variable and each principal component.For example, in the second table, the variable "SMOKING" has a loading of 0.043 on PC1, -0.003 on PC2, -0.316 on PC3, and 0.108 on PC4. This suggests that "SMOKING" is most strongly correlated with PC3 and weakly correlated with the other PCs. Similarly, "WEIGHT" is strongly correlated with PC3 and negatively correlated with PC4.
## Sample scores stored in cancer_pca$x
cancer_pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## [2,] -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## [3,] -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## [4,] 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## [5,] 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## [6,] -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## [7,] -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## [8,] 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## [9,] 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## [10,] 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## [11,] 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## [12,] -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## [13,] 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## [14,] -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## [15,] -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## [16,] 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## [17,] -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## [18,] 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## [19,] 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## [20,] 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## [21,] 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## [22,] 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## [24,] -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## [25,] 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## [26,] -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## [27,] 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## [28,] -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## [29,] 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## [30,] -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## [31,] 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## [32,] -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## [33,] 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## [34,] 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## [35,] 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## [36,] 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## [37,] -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## [38,] 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## [40,] -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## [41,] -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## [42,] -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## [43,] 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## [44,] -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## [45,] 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## [46,] 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## [47,] -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## [48,] 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## [49,] 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## [50,] 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## [51,] -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## [52,] 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## [53,] -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## [54,] -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## [55,] 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
## [56,] 0.200650077 2.716951889 1.41770341 -0.952121471 0.740632192
## [57,] 0.518073225 -1.367268061 2.81032243 -0.783212228 -0.937364905
## [58,] -1.831824121 1.109402015 -0.45190838 -0.415424258 1.192288451
## [59,] 0.685756178 -0.408794213 0.31395717 0.052650501 -0.299515433
## [60,] -0.498748639 0.460812608 0.14593215 1.348117096 -1.331297016
## [61,] -0.851501742 1.873535014 1.07688266 1.057769336 1.654911975
## [62,] 1.671406217 -0.423441611 0.01975544 -0.908557402 0.637102625
## [63,] -1.102287719 0.573598828 1.07737079 0.769959205 1.589212310
## [64,] 0.487489582 1.589885359 -0.52386479 -1.031169208 2.329019058
## [65,] -1.821523333 0.607204567 2.39323915 0.916516254 0.021873142
## [66,] 1.890194887 0.314196298 0.21915753 1.943292140 0.447955709
## [67,] -0.908993115 -1.002601881 2.42194180 -0.792706294 0.098085784
## [68,] -2.188253111 -1.295291142 -0.20414494 0.389988620 -0.418881441
## [69,] 1.922127515 -0.483661450 -0.89450174 1.892882896 -0.799898913
## [70,] 1.831473258 -1.208432390 0.77153641 2.788481409 0.126999960
## [71,] 1.111645609 2.745232439 -1.90160470 0.587416793 -0.459646651
## [72,] 1.972055116 -0.866834386 1.97362887 1.622670501 -1.020641169
## [73,] -3.014541351 0.230927487 1.82358730 -0.870777134 0.323242135
## [74,] 0.297544932 -3.341535872 -2.66498436 -0.870757883 0.580788533
## [75,] -3.123513629 -0.202316474 0.02439536 0.353201837 -1.241766589
## [76,] -2.175119346 0.619405502 -1.87693522 -0.203685676 0.728913726
## [77,] 0.988165063 0.281111344 2.73257900 1.428695160 0.826564602
## [78,] -3.171148404 -0.393624263 -0.52860137 0.462431181 -1.108134631
## [79,] 1.909872378 2.594516335 -1.37039805 -0.316273317 -0.384527514
## [80,] 1.884232732 -0.836929091 0.25971121 2.107873428 -1.134661282
## [81,] 0.148410514 -2.759622666 0.17058795 -2.012337053 -0.253735238
## [82,] 3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
## [83,] 1.589202745 3.215922052 1.45544104 -1.156249670 -0.416540691
## [84,] -0.735262114 -0.558683606 0.06426583 -0.614419304 3.046112719
## [85,] -2.492696658 -0.248148077 0.57351965 -1.485832190 -0.156211037
## [86,] 0.164831585 1.067984585 0.76191427 0.778873264 -0.004490012
## [87,] -0.791080564 1.277284906 0.13896203 -0.512508540 0.424119906
## [88,] 1.019972886 1.038546046 0.67879987 0.166896049 -1.036950670
## [89,] 1.355490521 1.048191345 -1.19753355 -1.835391137 0.487381401
## [90,] -0.217694604 1.268039722 0.47349157 -1.166491895 -0.149140965
## [91,] 0.200980870 1.569364821 0.23589533 -1.010042731 0.739065292
## [92,] -1.224091912 -1.370670443 1.95314352 -1.673818763 0.298939223
## [93,] -1.377079915 1.986294419 0.87166613 -2.146700312 -1.490469516
## [94,] 1.105509567 1.009068862 0.89835083 0.952703555 1.771596512
## [95,] -1.763739245 0.521690848 0.52910283 -1.278362192 -1.910301720
## [96,] 2.144246653 1.031814241 0.70297021 -0.327085070 -1.299959938
## [97,] -0.247301899 0.219966733 -1.52379872 0.759730600 -0.649174503
## [98,] -0.943580309 -0.985801589 -2.47162486 0.257887623 0.377111320
## [99,] 1.434728986 0.425244821 0.30490166 1.146598321 0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171 0.447133452 -1.342039635
## [101,] -2.211988131 0.291466382 -3.00610005 0.509360032 1.226245309
## [102,] 0.934186102 0.103006060 2.09662512 2.008597406 1.345721614
## [103,] -3.134406710 -0.118005299 0.30107545 0.285470960 -1.220197353
## [104,] 1.829037095 2.049999607 -3.14856312 0.573307112 0.274730687
## [105,] 1.889637650 -0.929392727 -0.06656941 2.287498244 -1.058126770
## [106,] 0.304495611 -2.796890852 -0.22372072 -2.193562275 0.775896724
## [107,] 3.150251750 -1.266687571 -0.15055069 0.047749838 -0.490198468
## [108,] 1.504721972 2.576287720 -0.70174306 0.107804727 0.494154681
## [109,] -0.513569276 -0.429919365 0.66685573 -2.146489489 1.272448570
## [110,] -2.049787993 -0.595265518 -1.39788656 -1.626354625 0.259757990
## [111,] -0.548863117 0.551657627 0.36348773 1.955891473 -0.754455175
## [112,] 0.137370850 1.157565543 -0.22654103 0.220013284 -2.581582640
## [113,] -0.769133382 -1.651851800 2.04076114 0.144667909 0.027932525
## [114,] 1.052948611 1.877461485 -3.18476295 0.436016597 -0.942808927
## [115,] -0.832893079 -1.520043078 1.23238975 0.789310913 1.071200271
## [116,] -0.521560718 -1.774839073 1.77212639 0.062067842 1.766517195
## [117,] -2.590558669 -0.606042808 0.07011790 0.065104794 -1.677476972
## [118,] 2.565856126 -0.636635561 0.90085819 -0.352743399 -1.971483866
## [119,] 1.890132650 -1.553285458 -0.21632974 2.489127348 -0.444483208
## [120,] 1.809485293 2.507239709 0.23379629 -0.904604737 -0.130106958
## [121,] 1.154753405 -0.820601807 -0.18191235 3.258811319 -0.010433839
## [122,] -3.068643554 -0.358110282 -0.17957410 0.278724442 1.079820384
## [123,] 0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## [124,] -0.262265717 -0.458918399 1.14583763 0.431171055 0.242487727
## [125,] -2.166676433 1.025027556 -2.44144452 -0.175700086 0.158619707
## [126,] 1.396820173 -1.775823130 0.44315452 0.164190546 1.111925399
## [127,] -2.621538470 -1.080128160 -1.50955976 0.829755886 -1.228986208
## [128,] 1.904628487 2.458422492 -1.72758409 -0.464085245 -0.547767196
## [129,] 2.449232521 -1.233115913 1.14940570 0.807738005 -1.464755784
## [130,] 0.346806820 -2.486510669 0.79296731 -2.700072211 0.411814347
## [131,] 3.029389183 -1.278867895 0.12853282 0.002537778 -1.822456522
## [132,] 1.929414827 1.312693320 1.78007480 0.409498610 0.912824308
## [133,] -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## [134,] -3.286936885 -0.510578871 -1.06794608 1.550312925 0.014328320
## [135,] -0.243063096 3.265766261 0.36303718 0.455074271 -0.101216908
## [136,] -0.885383059 -0.103152291 0.79354384 1.149680047 0.191778725
## [137,] 0.779845934 -1.412199847 -1.48333758 0.232939883 -1.659993771
## [138,] -1.475619881 -1.358995678 0.78667103 0.785254199 0.063938933
## [139,] 1.315156524 1.874152974 1.90819130 -1.745565666 -2.120481240
## [140,] -1.435594309 -0.886655409 1.17170443 0.402456719 0.175080477
## [141,] 0.311554205 -1.503514600 1.98669876 -0.611745934 -0.377702324
## [142,] -1.898169897 -0.689807691 -1.77090536 1.813131302 -0.926438974
## [143,] 1.817982682 -0.274894663 -0.25700981 0.816135845 -1.374023354
## [144,] 1.132188201 0.097406071 1.56257454 1.507813279 -0.597525384
## [145,] 1.041211639 2.476633973 -2.22422610 0.853838815 0.789743107
## [146,] 1.911956582 -1.279682355 0.58493540 2.442926394 -0.412810097
## [147,] -2.208254898 0.244829063 1.39493556 -0.446948312 -0.084142771
## [148,] 0.199618587 -1.606668229 -0.56648477 0.211079060 1.819639955
## [149,] -3.151824202 -0.105442765 0.28680901 0.530946496 -0.974148171
## [150,] -2.581152399 1.660530129 -0.45658460 -0.913041511 -0.642489672
## [151,] -1.821212050 0.049106818 -0.42528735 0.326193983 -1.727503000
## [152,] -0.709027954 1.118219938 0.61257539 -0.562639222 0.859330817
## [153,] 1.527353442 -0.054701131 -0.07747901 0.328574008 2.559335815
## [154,] 0.134446169 0.264009802 -1.70348774 -1.428607876 -0.536373103
## [155,] 2.379419131 -0.094554298 0.55507534 -2.767771658 0.132335453
## [156,] 1.816004356 0.546117886 -3.21264766 0.454846344 0.862978356
## [157,] 0.693446059 0.977045613 0.26008812 -3.763916185 -2.021635959
## [158,] 1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## [159,] 0.296933463 1.194165867 2.60436670 -1.181630957 -0.546751798
## [160,] 0.822754284 0.670235764 -2.41335728 -1.103663683 2.312033587
## [161,] -0.918911402 0.663806963 1.18690797 -2.128116926 1.024959096
## [162,] 0.231900961 -1.270641543 -1.76967126 0.862961366 0.236368161
## [163,] -1.013939681 1.262821648 1.47304856 0.585206501 -0.098566521
## [164,] -1.772694007 0.767271176 0.63712578 0.973149028 -0.128283972
## [165,] 0.113097963 -0.357041885 0.30262585 -0.029388012 3.038456413
## [166,] 0.075576812 2.276081375 -0.14913244 0.428758735 1.958389064
## [167,] 0.477358107 -2.002383447 0.60892730 0.553159679 -0.100163895
## [168,] -1.789229364 1.010323518 -0.71414648 -0.663628669 0.826928708
## [169,] 0.719595969 -0.266957041 0.81937861 -0.376044152 -0.660229054
## [170,] -0.479345237 0.029424455 -1.25225042 1.746517856 -1.293222426
## [171,] -0.706487604 1.979788355 1.48164274 0.256635741 0.659195101
## [172,] 1.659264316 -0.669984273 -0.80889570 -0.497190062 0.868951875
## [173,] -1.053631487 0.418816948 0.64807542 0.512000760 1.171296835
## [174,] 0.439619994 1.347267284 -1.34471999 -0.491319346 2.768031869
## [175,] -1.736485551 0.889505297 3.31946123 0.301066951 -0.567055601
## [176,] 1.908193822 0.100984757 -0.40588659 1.869485714 0.234457926
## [177,] -1.025193951 -1.347023632 1.14815308 0.528994073 1.290656942
## [178,] -2.229264288 -1.622311063 -1.29643165 0.990124308 0.004899612
## [179,] 1.957225328 -0.433792361 -0.55469125 1.069085426 -1.511190662
## [180,] 1.838526733 -1.356872831 0.31115872 2.847776221 0.079447061
## [181,] 1.180112751 2.940457687 -1.22406253 -0.005852669 -1.024121550
## [182,] 1.811861750 -1.441142807 0.01690577 3.101211177 0.312426585
## [183,] -3.110670459 -0.364952154 -0.24358794 0.575227017 1.429197339
## [184,] 0.360229263 -2.696506149 -0.58357746 -1.726264724 0.050562343
## [185,] -3.223541067 -0.179218190 0.09257126 0.673772079 -0.685860956
## [186,] -2.269746579 0.759892939 -1.50517585 0.258232091 1.433596248
## [187,] 2.747577269 -0.892695063 0.37334010 -0.956311448 1.532003894
## [188,] -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## [189,] 2.400777592 0.347128955 -1.71026348 -1.021489585 0.434261725
## [190,] 2.664155409 -1.393549647 -1.71837991 0.529051941 0.057805594
## [191,] 0.613534144 -1.458382780 0.89659577 -3.179203564 1.045150296
## [192,] 2.833005133 -1.403952109 -1.83872171 -0.412027674 0.480801518
## [193,] 3.117056920 -0.179410694 -1.10177848 -1.856855416 0.106854315
## [194,] 1.396552964 -0.642255545 0.02050933 -3.110585372 1.836705087
## [195,] -2.512642306 0.003850388 1.41044718 -1.765460899 -0.188561541
## [196,] 0.041302770 0.619388750 -0.80700898 2.078283851 1.142567875
## [197,] -0.813244847 0.880928753 -1.22887662 0.288977960 0.912007999
## [198,] 0.986709032 0.840164793 0.05264538 0.423153898 -0.837258657
## [199,] 1.252252204 0.988451934 -1.42301728 -1.323117294 1.159512551
## [200,] -0.137885258 1.481731866 1.13219939 -1.525196202 -0.559153131
## [201,] 0.136542296 1.207505130 -0.99116369 -0.216929658 1.363785406
## [202,] -1.270419897 -2.048452421 -0.26872446 -0.709046147 0.847964695
## [203,] -1.511779573 1.885698680 0.38947345 -1.030942437 -0.282150752
## [204,] 1.085397022 1.243127916 1.68487628 0.664169343 1.724253118
## [205,] -1.937338444 0.418609362 -0.03359575 0.232284332 -0.284578291
## [206,] 2.079880884 0.956433882 0.49279972 -0.166467991 -1.020841607
## [207,] -0.238660237 0.398472349 -1.03260961 0.864147837 -0.508793937
## [208,] -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## [209,] 1.500566250 0.840189583 1.66536450 0.435082161 0.072426854
## [210,] -3.014209221 0.355964728 1.96591223 -1.080854377 -2.396209206
## [211,] -2.105058072 0.929924423 -0.80062808 -1.017803085 0.046453380
## [212,] 0.942418911 0.054526904 1.96648773 1.934291974 1.240767541
## [213,] -3.148924082 -0.594610120 -1.31041545 1.087399067 -0.793683557
## [214,] 1.878394695 2.398574133 -1.99024350 -0.062447648 -0.190863682
## [215,] 1.966715740 -0.630957885 1.05402026 1.155588169 -2.010604775
## [216,] 0.277041266 -2.759604202 -0.07945444 -2.231880620 0.846800791
## [217,] 3.171498795 -0.995402267 0.71278740 -0.251134699 -0.651266456
## [218,] 1.556928786 2.591469129 -0.66355483 -0.035006615 0.235938143
## [219,] -0.616500433 -0.513737474 0.21506585 -1.061891800 2.369939157
## [220,] -2.586211894 -0.187369377 0.72652260 -1.088595931 0.457090666
## [221,] 0.137716815 0.366509534 -0.16792988 0.543739987 0.849702117
## [222,] 0.865093182 0.844185218 -1.74842823 -1.798595288 1.737694179
## [223,] -0.913971012 0.969266395 1.97298215 -1.716775781 1.472684147
## [224,] 0.313977949 -0.945041768 -0.72531396 0.292773295 -0.288118442
## [225,] -1.072776501 0.599121897 -0.68085976 1.492600012 0.450812463
## [226,] -1.699472023 0.930082069 1.24714633 0.260609994 -0.813935347
## [227,] 0.251825578 -0.075337937 1.19428496 -0.695732642 2.249570554
## [228,] 0.014567830 2.117497330 -0.74689429 1.102971967 2.580198736
## [229,] 0.504752774 -1.860630264 1.15079860 0.009577708 -0.529532914
## [230,] -1.698692239 1.131623356 -0.33312414 -1.038468810 0.327760281
## [231,] 0.558690456 -0.191830970 0.83866091 0.887454211 0.824592143
## [232,] -0.464475998 0.564705610 0.54205784 0.907998903 -1.720403026
## [233,] -0.736607022 2.290777684 2.53098650 -0.131746814 0.602622034
## [234,] 1.791907070 -0.482831255 -0.20730594 -1.103593125 0.098407869
## [235,] -1.021622690 1.026768352 2.49920628 0.201024453 1.131623848
## [236,] 0.511871527 1.643341139 -0.30949731 -1.318210021 2.062253193
## [237,] -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
## [238,] 1.973432877 0.329461293 0.39577264 1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## [240,] 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
## [241,] 0.567970913 -1.465901428 -1.40821954 -1.475588124 1.328585265
## [242,] -3.128591618 -0.100406746 0.42598650 -0.002631206 -1.449540091
## [243,] 0.921300172 2.566347959 0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712 0.50896513 0.494931879 0.794661098
## [245,] 0.727027732 -1.433071548 -1.59685113 0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257 0.40464481 -0.405256608 -0.735537650
## [247,] 1.137562086 1.419593842 0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
## [249,] 0.206337661 -1.720761209 1.11360977 0.581416058 0.745153770
## [250,] 0.582400965 -1.654341741 -4.03720871 0.592072897 0.127026158
## [251,] 1.852485410 0.064395647 0.86057895 0.277190722 -1.725563610
## [252,] 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
## [253,] 1.320083419 3.019301770 -0.60379759 -0.838972788 0.575723760
## [254,] 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## [255,] -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
## [256,] 0.184324517 -1.188753076 0.66614989 0.264048756 2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557 0.580820285 -1.073009725
## [258,] -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## [260,] -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## [261,] 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
## [266,] 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## [267,] 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,] 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,] 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## [270,] -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## [271,] 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## [273,] -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## [274,] 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## [275,] -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,] 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,] 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## [278,] 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## [279,] 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## [280,] 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,] 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## [285,] 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,] 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## [287,] 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## [288,] 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## [289,] 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## [291,] -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## [292,] -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## [293,] -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## [294,] 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## [296,] 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## [298,] 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## [300,] 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## [301,] 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## [302,] 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,] 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## [304,] -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## [305,] 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## [307,] -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## [309,] -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## [1,] 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## [2,] -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## [3,] 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## [4,] 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## [5,] 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## [6,] -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## [7,] 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## [8,] -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## [9,] 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## [10,] -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## [11,] -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## [12,] -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## [13,] 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## [14,] -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## [15,] 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## [16,] -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## [17,] -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## [18,] 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## [19,] 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## [20,] -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## [21,] -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## [22,] 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## [23,] -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## [24,] -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## [25,] -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## [26,] 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## [27,] -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## [28,] 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## [29,] -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
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## [124,] -0.7451062410 1.6588536662 0.946834768 1.341799538 -1.1139316268
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## [137,] -0.9717704657 0.6457854708 0.219401552 0.829861806 1.0510281059
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## [171,] -1.0264924611 -1.6772936407 0.289434663 -0.132068480 1.1206742753
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## [198,] 1.3136000892 -1.0284662359 0.796197497 -1.683831453 0.0492111750
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## [229,] 0.7412912740 -0.8531850969 -0.013240528 0.088707514 2.0467880852
## [230,] -0.7891935436 0.5454448937 1.084975113 -0.692704938 1.1037826112
## [231,] -0.2848528400 0.0915404055 -0.959288153 -2.908879872 0.2430427710
## [232,] 0.3190198692 0.8987541821 -0.848630395 0.972090818 1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469 0.6960047812
## [234,] 2.2580891391 -0.3672360792 2.171436426 1.635181116 0.7586462447
## [235,] 2.2292543596 -0.0922318122 -1.411306251 1.281549337 0.2631799499
## [236,] -0.3527796009 0.1126639646 0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389 0.243044661 1.7805492648
## [238,] -1.2341259405 -1.2470149473 0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489 2.645838204 0.780696755 0.9179201758
## [240,] 1.5845528807 0.3445231282 -0.272478651 1.454825603 -0.6233202025
## [241,] -1.1153339245 0.9284920103 -1.425772808 0.817089168 -0.3921075456
## [242,] 0.1514350674 -0.0946406719 -0.023153129 0.525905682 -0.4341328443
## [243,] 0.1200518159 2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,] 0.2027959021 -0.0849401635 1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078 1.1938858224 -0.299961432 0.614450844 0.9101726144
## [246,] 0.7396572613 -1.8187328378 -0.722086197 -1.493394128 0.4645379441
## [247,] -0.2925104736 1.7654731385 0.900472570 -1.224373692 -1.9931934779
## [248,] 1.5528942911 -0.3823914320 1.036454458 -0.647625094 0.3524471733
## [249,] -1.3878602134 0.1146013481 -0.164370679 1.656090276 -0.3786438121
## [250,] 0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,] 0.5619597323 0.8961292302 -1.334701366 0.379131211 0.2574922605
## [252,] -1.9119232499 0.6272419580 -0.040167086 0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646 0.036601334 -0.492122827 1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474 0.166851359 -0.9379488813
## [255,] -0.3317993324 1.3861884739 0.366675439 -0.608606841 0.8330237465
## [256,] -0.1633623299 0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620 0.475449978 -0.2479260376
## [258,] 0.6025818559 -0.2811734954 -0.100457057 1.230327282 -0.5999538620
## [259,] 0.4170038534 1.6903016657 -0.874392374 0.326717780 0.5784111216
## [260,] 0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,] 0.1823409035 -1.1936153031 0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971 0.538373097 0.3577129850
## [263,] 1.4670339885 0.0560863487 1.649570038 0.463640188 -0.2575170414
## [264,] -1.2367743349 0.6690005850 0.825026937 0.357533884 0.3547903089
## [265,] 1.1603304648 0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879 0.957953335 0.2606999512
## [267,] 0.8889099300 -0.7066213845 -0.312820562 0.509747636 -0.7811957618
## [268,] -0.5705395526 0.5542518386 -0.472892785 0.313815624 0.5342072708
## [269,] -0.8512332042 -0.4827810745 1.036359939 0.228757735 -1.1577294509
## [270,] -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## [271,] 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## [273,] 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## [275,] -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## [276,] -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## [277,] -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## [278,] 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,] 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## [281,] -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## [282,] 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## [283,] 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## [284,] 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## [285,] 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## [286,] -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## [287,] 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,] 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## [289,] 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## [290,] -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## [291,] 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## [292,] -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## [293,] 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## [295,] 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## [296,] -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## [297,] 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## [298,] -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## [299,] 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## [300,] 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## [301,] -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## [302,] 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## [303,] 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## [306,] -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## [307,] 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## [308,] 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## [309,] 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## [1,] 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## [2,] 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## [3,] -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## [4,] -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## [5,] -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## [6,] 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## [7,] -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## [8,] 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## [9,] 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## [10,] 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## [11,] -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## [12,] 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## [13,] 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## [14,] 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## [15,] -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## [16,] 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## [18,] -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## [19,] -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## [20,] 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## [21,] 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## [22,] 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## [23,] 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## [24,] 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## [26,] 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## [27,] 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## [29,] -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## [30,] 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## [31,] -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## [32,] 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## [33,] 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## [34,] -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## [35,] 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## [36,] 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## [38,] -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## [39,] -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## [40,] -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## [41,] 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## [42,] 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## [43,] 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## [44,] 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
## [45,] -1.614973464 -1.2134306509 1.337189896 0.479254455 -0.7940825244
## [46,] -0.822660699 -0.5381476425 1.351054267 -0.871938739 0.2867008044
## [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## [48,] -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## [49,] 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## [50,] 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## [51,] -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## [52,] 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## [53,] -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## [54,] -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
## [55,] 0.059631997 -0.3422837836 0.631467132 -0.430910715 0.7213219035
## [56,] 1.187959690 -0.3529930654 0.325920926 -0.635921694 -0.3963700610
## [57,] -1.516700646 -0.5463492685 -0.689798999 0.290699987 0.6539578856
## [58,] 0.063045575 -1.5632941214 -0.689317295 0.965257941 -1.1668081449
## [59,] -0.585555242 0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## [60,] 0.168377749 -0.6514696533 0.427877290 -0.691209791 1.1214395016
## [61,] -0.303937921 0.2195102429 -0.177772012 -0.966847954 -0.4534468747
## [62,] -0.370589642 0.1881359754 -0.404935737 0.616217247 0.3213906647
## [63,] 0.562045314 0.6087100581 0.546564854 -1.127522933 0.0423631652
## [64,] 1.562104579 0.1679151372 -0.759164794 0.914358164 0.4221507490
## [65,] -0.307419099 0.5669386920 0.323913746 -0.248765411 0.2401093667
## [66,] -1.800555798 1.2416865299 0.546191663 0.025603755 -0.4886964204
## [67,] -0.780803530 0.9680464791 -1.154511320 -0.234018960 0.2106001542
## [68,] 0.243501794 -0.7449588229 0.901164989 -0.639258371 0.2572572643
## [69,] 0.318511999 0.9865425504 -0.724604727 1.167513640 -0.3950871256
## [70,] -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
## [71,] 0.395563837 -0.6353653669 -1.046143203 -0.395446609 0.4200325778
## [72,] -0.132154535 -0.2768798130 0.554030785 0.187167051 -0.2955056307
## [73,] 0.118025861 0.2219809439 0.236114510 -0.198690863 0.0834334297
## [74,] -0.140563287 0.1228052652 0.164854143 0.040425323 -0.2375809416
## [75,] 0.089152229 0.0810432184 0.008917707 -0.013010484 0.1426505796
## [76,] 0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
## [77,] -0.193686281 0.1925570034 -1.200835531 0.027174662 0.0545096490
## [78,] 0.225428911 -0.5317507356 -0.751995565 -0.518521957 0.6561825798
## [79,] -1.038563904 0.1303494327 1.505910954 -0.006619541 -0.3864339587
## [80,] -0.999779797 -0.4491545309 -0.203159284 0.890661824 -0.0687494212
## [81,] 0.736805720 0.0931148821 -0.548849539 0.929741566 0.1710456599
## [82,] 0.331212303 -0.6604685218 0.483127310 -0.383953382 0.0299625586
## [83,] -0.494038249 -0.1809526966 -0.693029162 -0.321202640 1.2130307510
## [84,] -0.247720716 -1.9830952857 -0.064812692 0.673317030 0.2488693728
## [85,] 0.293303760 -0.2526473413 0.760814035 0.442096802 -0.2483130580
## [86,] 0.854198843 -1.0578870797 0.246599297 0.268291758 0.0528875299
## [87,] 0.019427201 -0.7472741460 -0.315263937 -0.339431116 0.8530010449
## [88,] 0.515099491 2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## [89,] 0.396677405 1.0281156094 1.251735506 0.365048538 0.6113069945
## [90,] -0.196958743 0.1727445012 -0.175979624 0.251242033 0.3075061692
## [91,] -0.908803697 -0.4641643806 -1.195676014 1.524708105 0.6341433167
## [92,] -0.459819133 0.2415520696 -0.701715520 0.943060828 -0.4390341268
## [93,] 0.577211676 0.8769549835 0.467237575 -0.293414270 -0.7410211870
## [94,] 0.376024108 -0.5759689750 0.918623238 1.180562016 -0.2256674920
## [95,] 0.376550480 -1.1251383134 0.986458836 0.529105777 -1.1761631521
## [96,] 0.256931250 1.0610395622 -0.053629478 0.064945845 -0.5656595143
## [97,] -0.478982591 -0.4067158254 -0.469145662 1.271401627 1.3387050869
## [98,] -0.564062512 -3.0245294479 0.224081729 -0.554508893 0.2526254534
## [99,] 1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## [100,] 0.031125975 0.5189074993 0.558725281 0.430966100 -0.2377379712
## [101,] 0.197998438 0.0167154008 0.111369110 -0.132114611 -0.7366617528
## [102,] -0.232379694 0.3170869111 -1.303548212 0.056202797 0.0039380143
## [103,] 0.097994130 -0.0417656755 -0.142942833 -0.152476705 0.2511952063
## [104,] -0.978807594 -0.0232077362 1.024213559 -0.137775845 -0.2087744303
## [105,] -1.037444131 -0.2112538879 0.033504034 1.106887063 -0.2613662304
## [106,] 0.297656183 0.2983409313 0.139191347 0.529135533 -0.1804720323
## [107,] 0.267943255 -0.4792219363 0.621133158 -0.299252011 -0.0977380566
## [108,] -0.528340518 0.1251328831 -0.768143809 -0.088742811 1.0350856613
## [109,] -0.142842041 -1.8814894234 0.895453078 1.186341067 -0.0392106502
## [110,] 1.032007126 -0.3873793935 -0.816200335 -0.424840010 0.8279075380
## [111,] 0.481548479 0.3114823182 0.292619651 0.622543704 0.4464357392
## [112,] 1.559874683 0.5833313450 0.424954703 0.585170837 0.0450815216
## [113,] -1.510634671 0.2747947549 -0.496823920 1.038737062 0.1047037030
## [114,] -0.115316858 0.2975403823 -0.012049023 0.494542530 0.1300361673
## [115,] -0.188075600 0.8888540550 1.141636781 0.988710888 0.6328114784
## [116,] 0.056360617 1.0870240618 -0.357582970 -0.380795621 -0.4688026328
## [117,] -0.731441650 -0.2534189793 0.607429918 -0.043427608 0.4755427006
## [118,] 1.575533621 -0.3750519323 -0.273590252 0.282372467 -0.1540428813
## [119,] 0.002893875 -0.6734814665 -0.163531606 -0.087412681 0.0663117691
## [120,] 0.446413642 -0.1277354242 -0.996326871 1.533737482 0.9768585655
## [121,] 0.267340266 -0.5660987518 -0.007395508 -1.279686466 -0.7323835988
## [122,] 0.046445956 0.7468656629 0.483713407 0.247944485 -0.2913995915
## [123,] 0.909000719 0.0897831534 1.177838651 -0.947387266 -0.3197825387
## [124,] 0.629823071 0.2879453770 1.029217109 -0.552474310 1.3399238865
## [125,] -0.794056705 0.3317744877 0.355197311 1.018422844 -0.9907731226
## [126,] 0.622477115 -0.5249701939 -0.121688716 -0.490384411 0.5245018888
## [127,] -0.751432612 0.0410632906 0.737055324 0.247121500 0.2607815840
## [128,] -0.909917129 -0.3612919060 1.024192187 -0.346690172 -0.0056423842
## [129,] 0.154926058 -1.4391681156 0.274585841 0.185280098 -0.0479047276
## [130,] 0.270625145 0.3443025149 0.360694788 0.564730189 -0.2459314922
## [131,] 0.748888428 -0.7342885254 0.021271498 0.153580439 0.2566140136
## [132,] 0.292263416 0.4171591028 -0.584429409 0.931877149 -1.0174449090
## [133,] 0.632725753 0.7066884287 0.401761592 0.397497447 -0.8849132904
## [134,] 0.082412656 -0.1684765550 -0.870702276 -0.460534180 0.4826390917
## [135,] -0.499571994 0.8084684685 0.725699554 -0.085896325 -0.8420581965
## [136,] 1.781096755 -0.8817805695 0.475251084 0.458090033 0.1610472198
## [137,] 0.486212420 1.2972806649 -1.259504124 0.426123376 0.9838162454
## [138,] -1.052839007 -0.1033355495 -0.698800981 -0.328668481 -0.3616124824
## [139,] -0.827117215 0.0825104158 0.688979321 0.914761849 0.9162253019
## [140,] 0.311282220 0.4158344275 1.270788526 -0.325763084 0.1517838075
## [141,] -0.612991740 -0.2019474897 0.355503758 -1.244776480 -0.2495189658
## [142,] -0.114333649 -0.0227009135 0.406267180 -0.010405241 1.2048803881
## [143,] 1.878384008 -0.2393013201 -0.157397029 -0.808686716 -0.9757275257
## [144,] -0.607143298 0.1189496401 -0.477891520 -0.166257131 -0.2144755379
## [145,] 0.739290331 0.2381621476 -0.765082706 0.684180982 -0.0171179900
## [146,] -0.145260843 -0.1348441116 0.432561804 0.283733600 -0.3620050869
## [147,] -0.086011284 0.5618417957 0.276456518 -0.770593330 0.3672118599
## [148,] 0.160227162 -2.1881068236 0.902234343 1.106876115 -0.0786894943
## [149,] 0.031317302 0.1911905163 0.005616693 -0.018958445 0.0881407007
## [150,] -0.726166472 -0.0431326938 -0.531473520 -0.073684909 -0.0995940026
## [151,] 0.789761746 -0.0174189036 0.847593039 0.723763015 0.3713978512
## [152,] 2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## [153,] 0.128639109 1.2161735687 0.908866917 -0.771517783 2.0159239490
## [154,] -1.533056562 -0.7886853127 -1.578448855 -1.027067669 -0.1558162169
## [155,] -1.799206424 0.3517339788 1.006613812 -0.511938750 -0.6690267496
## [156,] -1.745772166 0.6357702258 -0.328529303 -1.535686219 -0.0084052138
## [157,] -1.727595126 0.2096404580 -0.379922081 -1.631281664 -0.3556658255
## [158,] -2.376585351 0.8935729172 -0.498587445 0.560593037 -0.1535818719
## [159,] 1.005679461 0.1691497143 0.301254883 1.396244152 0.8544999510
## [160,] 0.358603585 -0.7299125978 0.855931458 -0.564462146 0.6768503139
## [161,] -0.118277128 0.3147405380 -0.961954969 -0.370877751 1.7798329478
## [162,] 1.322369895 1.3216155305 -0.328367399 -2.185022759 -0.0006690793
## [163,] -0.490946417 -0.2477650604 -0.394734903 0.947105811 0.0303566101
## [164,] -0.323505427 -0.7698571887 0.749456412 -0.140540080 -1.0586996402
## [165,] -0.024775395 -0.2833212994 0.373770439 -0.595502381 0.7588735967
## [166,] 1.096750958 -0.0400292467 0.109174495 -0.542275847 -0.5334434028
## [167,] -1.665107558 0.3814373406 -0.019691055 1.080792101 -0.0472712677
## [168,] 0.121517841 -1.6336033878 -0.593843975 1.032200983 -1.1569982511
## [169,] -0.549889731 0.1712785672 -0.611523409 -1.099377267 -0.7051790987
## [170,] 0.173090442 -0.3460925249 0.765095255 -0.297061213 0.8511220659
## [171,] -0.322702786 0.6536319167 0.791574771 -0.362402839 -0.9256792672
## [172,] -0.393904330 0.4091380943 -0.259342542 0.826594309 0.1533518369
## [173,] 0.637843045 0.5151152191 0.641350658 -1.049027385 0.0623796356
## [174,] 1.556299335 0.2068648506 -0.920435851 0.910946304 0.4296449544
## [175,] -0.362008509 0.8741466793 0.951553236 0.081808646 -0.0697876936
## [176,] -1.710189519 1.0325347910 0.412329823 -0.031140234 -0.3517095595
## [177,] -0.909995025 1.4121049162 -1.210938149 -0.051017509 -0.0331009714
## [178,] 0.239525689 -0.6413809846 0.822266920 -0.555354028 0.2051302279
## [179,] 0.545524019 0.0655601494 -1.438160622 0.538839358 0.2856419443
## [180,] -0.124850377 -0.3876590948 -0.089921253 -0.040303164 -0.0981735864
## [181,] 0.403768501 -0.5956669180 -0.734455947 -0.275493242 0.3301105084
## [182,] -0.132930313 -0.3766394866 -0.187203238 -0.064829097 -0.0839396096
## [183,] 0.016270698 0.7615497571 0.333919451 0.171045051 -0.2624416848
## [184,] -0.224043337 0.2646391701 0.570084353 0.095086855 -0.3850995679
## [185,] 0.147757152 -0.4780702868 -0.895359681 -0.652032973 0.6727709000
## [186,] 0.193616175 -0.4240181500 -0.498121267 -0.720241421 -0.3232495839
## [187,] -0.034761097 1.1457298699 0.586766276 -0.625570708 0.6892305938
## [188,] 0.504482451 0.5496962695 0.060856072 -0.847121852 -0.7707882356
## [189,] -0.650616269 -0.1605567900 0.414551028 -2.110531901 -0.1496008604
## [190,] -0.182798626 1.6411241358 1.044213913 0.110493834 0.2288751125
## [191,] 0.095969948 0.8016115611 0.042308039 0.010436164 -0.1049633741
## [192,] -0.366156628 0.7496332500 0.768361136 -1.091461924 0.7148505058
## [193,] -0.946409204 -0.3152183738 0.150414025 -1.053778779 0.7113997225
## [194,] -0.855672835 -0.9830093268 -0.905832846 -0.409623569 0.1492982261
## [195,] 0.325176088 -0.6070675912 0.367549686 0.061677189 0.0541561124
## [196,] 0.794881574 -0.8748651352 -0.084748319 0.270197773 0.0146265993
## [197,] -0.066920247 -0.1862714119 0.098864439 0.147105215 0.4261859754
## [198,] 0.570324710 2.0238937521 -1.044359363 -0.273356272 -0.2185264856
## [199,] 0.425186441 0.6429611071 0.491994328 -0.126800674 1.0069575413
## [200,] -0.309246961 0.7596944788 0.686920137 0.799763529 -0.2162877586
## [201,] -0.926207624 -0.3478009217 -1.355300510 1.578113090 0.5935029616
## [202,] -0.435040531 0.4237204416 -0.745279545 1.175313970 -0.5592385296
## [203,] 0.452443320 1.0957245385 0.142243809 -0.388730863 -0.7838865288
## [204,] 0.419772768 -0.9714967884 0.485821261 0.774175656 0.1081471239
## [205,] 0.175739436 -0.6851285663 0.715121492 0.516934869 -1.3528110796
## [206,] 0.353103360 0.5024938497 -0.823726838 -0.469077034 -0.0738754850
## [207,] -0.616674826 0.1076888698 0.048842036 1.623576983 0.9385118280
## [208,] -0.932014894 -2.3782729327 -0.056710547 -0.746252808 -1.0047732584
## [209,] 1.560076315 -0.0806846266 -0.101208215 -0.548504487 -1.2679059152
## [210,] 0.177987430 -0.3405525381 0.069584376 -0.255456285 0.3831698686
## [211,] 0.290925203 -0.4797676870 0.097365997 -0.458753115 -0.4330577300
## [212,] -0.197654486 0.2195844532 -1.364133168 0.014767142 0.0697480723
## [213,] 0.033115596 0.4977976943 0.277185030 0.357443913 -0.1692388424
## [214,] -0.986944360 -0.0632916842 1.195268464 -0.162507838 -0.2130873890
## [215,] -0.885201565 -0.8401300969 -0.235047500 0.715123819 0.1615237371
## [216,] 0.348346118 -0.0255630837 -0.265224647 0.217261282 0.0980469217
## [217,] 0.219225392 -0.3749311471 0.813013327 -0.253789639 -0.1893930475
## [218,] -0.580699335 0.4949571942 -0.222702935 0.295336073 0.6989844827
## [219,] -0.324346284 -1.3337935698 0.998841732 1.400331616 -0.3667381814
## [220,] 0.292793239 -0.5584445302 0.117974067 -0.004227517 0.0807831232
## [221,] 1.022770651 0.1527312235 -0.371180305 1.281589722 0.9916750779
## [222,] 0.465861696 -1.1847956071 0.607637361 -0.864458757 0.9942057110
## [223,] -0.424516730 1.4748814174 0.145181171 0.420214420 0.8878891898
## [224,] 1.236438417 1.7300181032 0.383479681 -1.797487236 -0.3845053731
## [225,] -0.426387323 -0.2842011807 -0.688413707 0.984933178 0.0919241125
## [226,] -0.263850500 -0.9207747960 0.901682146 -0.143776831 -1.0068171990
## [227,] -0.162814971 0.5436072760 1.690537431 0.239060114 -0.0051335613
## [228,] 1.026434521 0.1900517074 0.077777001 -0.454886610 -0.6582377293
## [229,] -1.572773111 -0.0312910426 -0.288500239 0.789657126 0.2507442514
## [230,] 0.036653223 -1.0775967170 0.277635073 1.607073041 -1.6704573397
## [231,] -0.760711421 0.5801334609 -0.853926932 -1.158985637 -0.8636755088
## [232,] 0.224797306 -0.8638491677 0.369310689 -0.806783880 1.2564088524
## [233,] -0.256109481 0.0813377143 0.160075683 -0.944625884 -0.4426724802
## [234,] -0.500478173 1.1402854283 0.940682998 1.603648258 -0.5339839208
## [235,] 0.420557609 1.1757651232 1.405814095 -0.660944846 -0.4584058641
## [236,] 1.601474335 0.0329770609 -0.786863332 0.850110349 0.5049464856
## [237,] -0.245442814 0.5299043586 0.123567074 -0.198453838 0.2846141257
## [238,] -1.677910380 0.9370002172 0.587961195 -0.028877664 -0.3326711026
## [239,] -0.615963168 0.4614410046 -1.373119458 -0.462593734 0.5385699125
## [240,] 0.346190183 -0.1741353115 -1.640682285 0.219620922 -0.4347494070
## [241,] -0.237700953 -1.8269571358 -1.733722502 -0.868267167 0.0739759153
## [242,] 0.189743967 -0.4365589058 -0.484810381 -0.440615878 0.5517758465
## [243,] -0.157734030 1.3944431466 -1.315420940 -1.163315747 -1.0278137201
## [244,] 1.482778302 -1.2292871843 0.735433828 -0.310230712 0.2165680484
## [245,] 0.458353115 1.2794759823 -1.481894590 0.305867734 1.0478414078
## [246,] -0.561798075 1.1599444136 -0.106549811 0.174440364 -0.5614477491
## [247,] -0.904030686 0.1899898851 0.077693633 0.746239059 0.9884091324
## [248,] 0.367306846 0.0797105468 0.421658844 -0.727251810 0.5237866907
## [249,] -0.771447964 0.3220145131 0.421694621 -1.015059403 -0.5611796464
## [250,] 0.891226655 1.8559091541 1.012247198 0.055194895 -0.9096856467
## [251,] 1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## [252,] -0.460426027 -0.7028922394 -1.480131889 -0.915330523 0.4818986921
## [253,] 0.383069666 0.0729546428 0.084302734 0.102023258 -0.1799652501
## [254,] -0.073701024 -0.5385788237 -0.284734897 -0.129813506 0.0242731252
## [255,] -0.316718368 1.3263872034 0.646147689 -0.380331569 -0.1411549227
## [256,] -0.020055754 -1.7066672359 1.308291456 1.314337165 -0.4218148172
## [257,] 0.099230582 0.0633414172 -0.089809685 -0.030062396 0.1705910065
## [258,] -0.814719325 0.3554712920 -0.482169057 0.167179178 -0.3464488494
## [259,] 0.827465657 -0.2784515308 0.408041681 0.443426503 0.6190726633
## [260,] 1.969911006 0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,] 0.120692741 1.5520772439 1.851214993 -0.252163607 1.6108503758
## [262,] 0.382435126 -0.0915046435 0.031776181 -0.399960814 0.6689254912
## [263,] -1.094660807 0.5313274642 -0.723942851 0.793217363 -0.4923627949
## [264,] 0.077558875 1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738 0.358157169 -0.161823863 0.5066678723
## [266,] 1.553818534 -0.4152766906 -0.754771835 0.100342799 -0.0263940820
## [267,] 0.786240415 0.5920760463 -0.296554785 0.146965215 0.8331283743
## [268,] -0.077097448 -0.1064969348 0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983 1.449425933 -0.110453136 -0.6621996038
## [270,] 0.040436218 0.8904793243 1.394424602 0.565017503 -0.5631495248
## [271,] 0.271097474 -0.1892803429 -0.938504400 0.190741482 0.2747592430
## [272,] 0.074050682 0.1269508821 -0.024944975 -0.003253330 0.1234850640
## [273,] -0.931853006 1.0078033725 0.209204840 0.739747383 -0.8785993809
## [274,] 0.836197278 0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414 0.1361235206
## [276,] -0.983023515 -0.1041939949 1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274 1.399310331 -0.619467237 0.3217333923
## [278,] 0.235167642 0.0761654172 -0.868124389 -0.030755816 0.1837052038
## [279,] 0.259645931 -0.7659212831 -0.171331327 -0.771443767 0.2503776820
## [280,] 0.386626612 0.0020122656 -1.394599751 0.535355543 -0.6125133511
## [281,] 0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,] 0.482401592 0.8485498995 -0.439878351 0.187371367 -0.9810781952
## [283,] 0.133037414 0.6534827324 -1.212225499 0.499259150 -0.6413672907
## [284,] 0.406502194 0.7165172399 0.480778116 0.925558289 0.1639291407
## [285,] -0.857974639 -0.6741941727 0.840754566 -0.600815722 0.2219338890
## [286,] 0.038978935 -0.7220043659 0.586611893 0.752720450 -0.5492553667
## [287,] 0.400500823 -0.3586637134 -0.511835579 -0.069931664 0.3513372646
## [288,] 0.822793804 -1.1842067114 -0.215174410 -0.208041555 0.5787408975
## [289,] 0.367378840 0.0070424388 -1.070586440 0.564778180 -0.6732674459
## [290,] 0.707731574 0.3200376804 -0.202871587 0.031149299 -0.5331046573
## [291,] -0.081437579 0.6813613159 0.423020726 0.339802365 -0.2840377311
## [292,] -0.448238235 0.5883060329 0.080163844 -0.336205536 -0.5854681151
## [293,] 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
## [294,] 0.262999653 2.5161366718 0.184353081 1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138 0.625874697 1.2319341578
## [297,] 0.424298678 -0.1658003787 0.354749610 -0.877756151 0.6822191559
## [298,] -0.583145614 -0.3361529386 0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## [300,] 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,] 0.737361526 0.1736037657 -0.361233504 0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997 0.408186660 0.192943852 -0.2835720653
## [304,] -0.061479981 0.4313114021 0.099934079 -0.890448988 0.4808252877
## [305,] 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
## [306,] 0.087368328 -0.0350587299 -0.772962725 -0.292136488 0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## [308,] 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## [309,] 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## [1,] -0.204699168 0.399778790
## [2,] 0.045288943 0.292915024
## [3,] -0.271595154 -0.814045516
## [4,] -0.371673537 1.078203419
## [5,] 0.734034423 0.516096799
## [6,] 0.370839736 0.464690533
## [7,] -0.322143489 0.050306784
## [8,] 0.531051672 0.194644777
## [9,] -1.124665269 -0.473960208
## [10,] 0.076492553 0.033336741
## [11,] -0.534141622 -0.128982341
## [12,] 0.084037407 -0.456830857
## [13,] 0.189629446 0.456895464
## [14,] -0.016716439 -0.021511422
## [15,] 0.006422442 -0.329564249
## [16,] -0.225723824 -0.788232416
## [17,] 0.487690414 -0.355745563
## [18,] -0.216253994 0.281111017
## [19,] -0.357368372 -0.574817902
## [20,] -0.121585264 0.153361961
## [21,] -0.325279346 0.341539699
## [22,] -0.249217026 -0.517074387
## [23,] -0.474336582 0.001382573
## [24,] 0.020601136 -0.029383874
## [25,] -0.421748563 -0.176386698
## [26,] -0.375057468 0.459319241
## [27,] 0.157050749 1.283191589
## [28,] 0.172160415 -1.177121386
## [29,] 0.840632915 0.308201578
## [30,] 0.546906491 0.990041317
## [31,] 1.833637726 0.602301402
## [32,] 0.899009190 -0.685671003
## [33,] 0.778795299 0.192681525
## [34,] 0.282663097 0.192190653
## [35,] -0.281726780 -0.102251797
## [36,] 0.404702630 0.315448071
## [37,] 0.252701007 -0.080408534
## [38,] 0.835870432 -0.173405499
## [39,] 0.794453324 -0.901139864
## [40,] -0.664108490 -0.302257112
## [41,] -0.699334673 -0.772619337
## [42,] 0.302214498 0.526431365
## [43,] 0.215644055 0.008363015
## [44,] 1.218170500 -0.374050417
## [45,] -0.107189826 1.558186080
## [46,] -0.014697978 -0.110994738
## [47,] -0.314501834 1.085094010
## [48,] -0.453323188 1.568209576
## [49,] 0.371135730 -0.880906339
## [50,] 0.038378647 -1.504845090
## [51,] -0.190277899 -0.215343711
## [52,] 0.571180847 -0.485102183
## [53,] -0.795216391 0.307609636
## [54,] 0.101171607 -0.457206584
## [55,] -0.836682394 1.227393045
## [56,] -0.761838666 0.044936466
## [57,] -0.093377912 0.519556971
## [58,] -0.085545972 0.334201010
## [59,] 0.820792154 0.214839663
## [60,] 0.108966172 -0.162975362
## [61,] -0.542958636 1.037635542
## [62,] -1.090814185 -0.173869707
## [63,] 0.397950756 0.601928262
## [64,] -0.286457614 -0.316048608
## [65,] 1.423427877 0.100505316
## [66,] -1.311470262 -0.340525215
## [67,] -0.360979053 0.384060109
## [68,] 0.046545960 0.364930671
## [69,] 0.851869088 0.039331283
## [70,] 0.125575693 0.027204718
## [71,] 0.339668208 0.511883358
## [72,] 0.135095885 -0.227962988
## [73,] -0.161028009 -0.359990351
## [74,] -0.151488592 0.364242693
## [75,] 0.032547772 -0.019961277
## [76,] -0.125258951 -0.040086038
## [77,] -0.314385878 -0.543428311
## [78,] -0.335717440 0.228175597
## [79,] 0.400994735 -0.072763914
## [80,] -0.528254127 0.151448992
## [81,] 0.139513375 0.283297565
## [82,] -0.005952746 0.259756203
## [83,] 0.220449326 0.205910512
## [84,] 0.821389639 -0.280463409
## [85,] -0.616768168 -0.143967535
## [86,] 0.587250538 0.095098054
## [87,] -0.057818756 -0.333248457
## [88,] -0.618241629 0.030801222
## [89,] 0.262114853 0.284029297
## [90,] -0.441595058 0.570186068
## [91,] 0.546853402 0.247395413
## [92,] -0.954452414 -0.237225566
## [93,] -0.690367526 0.648356547
## [94,] 1.196418062 -0.755162981
## [95,] -1.025634831 0.626103061
## [96,] -0.491732734 -0.231372581
## [97,] 0.162249355 0.180426095
## [98,] 0.601243917 -0.104024116
## [99,] -1.217306954 -0.042251874
## [100,] 0.210795257 -0.266528766
## [101,] 0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145 0.061331010
## [104,] 0.225753874 0.024185581
## [105,] -0.423907862 0.044826848
## [106,] -0.049813183 0.066391359
## [107,] 0.144666199 0.249381777
## [108,] 0.288291683 0.147150980
## [109,] 0.683932546 -0.766405649
## [110,] -0.165238363 0.413606088
## [111,] -0.311500803 0.275308649
## [112,] 0.470357058 0.841243335
## [113,] 0.222169322 -1.078565979
## [114,] -0.168079224 0.872922772
## [115,] 0.877633521 1.155793976
## [116,] 0.248481964 0.515447773
## [117,] -0.215599949 0.058770936
## [118,] 0.514993586 0.210590031
## [119,] -0.226150793 -0.086942561
## [120,] 0.289380434 0.313280968
## [121,] 0.215127207 -0.235851294
## [122,] 0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228 0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,] 0.075685920 0.058279950
## [129,] -0.639909303 0.323712286
## [130,] 0.029766279 0.032157735
## [131,] 0.251431807 0.393080370
## [132,] 0.099890861 -0.888438144
## [133,] 0.278208194 0.028194637
## [134,] -0.035768643 0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,] 0.000772863 0.151658109
## [138,] 0.209223668 -1.243826974
## [139,] 0.869070173 0.233877079
## [140,] 0.805399365 0.872283165
## [141,] 0.341425105 0.022592252
## [142,] -0.684397168 -0.936264140
## [143,] 0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,] 0.676296036 -0.021386986
## [146,] 0.152334617 -0.236617040
## [147,] 0.100548266 0.546407053
## [148,] -0.614292886 0.646342147
## [149,] 0.157997524 0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,] 0.284353292 0.503158969
## [153,] 0.173424869 0.019842343
## [154,] 0.044405912 -0.388242074
## [155,] 0.824834606 0.325438074
## [156,] 0.121962865 -0.861216712
## [157,] -0.442513188 0.702610115
## [158,] 0.793495320 0.334082201
## [159,] 0.447669504 -1.216843843
## [160,] 0.090886418 -1.371108370
## [161,] -0.438017503 0.002962693
## [162,] 0.541409695 -0.450589729
## [163,] -0.820401346 0.677621810
## [164,] 0.226252313 -0.216161914
## [165,] -0.677481397 1.415588471
## [166,] -0.583691233 0.119191040
## [167,] 0.293109180 0.174793193
## [168,] -0.203669862 0.239594626
## [169,] 0.743351273 0.219123542
## [170,] 0.130802257 -0.400058587
## [171,] -0.410579567 0.611738612
## [172,] -1.026212619 -0.272878294
## [173,] 0.242101208 0.488238862
## [174,] -0.288948646 -0.279987488
## [175,] 1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098 0.421068268
## [178,] 0.047903515 0.346408715
## [179,] 0.290577969 0.257721538
## [180,] 0.058594121 -0.016260362
## [181,] 0.351179366 0.395519794
## [182,] 0.067019098 0.018984832
## [183,] 0.069867765 -0.454941763
## [184,] 0.068081891 0.334040887
## [185,] -0.180412417 0.376233283
## [186,] -0.039127144 0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623 0.415674312
## [189,] 0.164826381 -0.745791996
## [190,] 0.055938829 -0.226902271
## [191,] -1.130935409 0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579 0.067538846
## [196,] 0.685196206 0.204171257
## [197,] 0.169355098 -0.549958598
## [198,] -0.769993878 0.122808536
## [199,] 0.128325234 0.614367708
## [200,] -0.115885447 0.264880595
## [201,] 0.569809145 0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464 0.852052206
## [204,] 1.060227957 -0.534824136
## [205,] -0.614394865 0.846168128
## [206,] -0.773683331 0.063697140
## [207,] 0.510641502 0.044842721
## [208,] 0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654 0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,] 0.179998006 -0.184224234
## [214,] 0.259444768 0.009943970
## [215,] -0.780618138 0.139516314
## [216,] -0.198320989 0.234820841
## [217,] 0.268641865 0.234126153
## [218,] 0.453731649 -0.077289733
## [219,] 1.088579218 -0.729502626
## [220,] -0.676442863 0.168806418
## [221,] 0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,] 0.332638512 -0.293672149
## [224,] 0.795452124 -0.679781217
## [225,] -0.988260241 0.662611902
## [226,] 0.110787399 -0.291810588
## [227,] -0.252893278 0.923464117
## [228,] -0.433616613 0.144755671
## [229,] 0.066773967 0.275017663
## [230,] 0.063241523 -0.101200129
## [231,] 1.179012497 0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088 0.926318797
## [234,] -0.681058673 -0.744278153
## [235,] 0.786713435 0.356755296
## [236,] -0.374744887 -0.315348333
## [237,] 1.269945960 0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720 0.388446323
## [240,] -0.117226699 -0.428558305
## [241,] 0.955826543 -0.268608022
## [242,] -0.232986784 0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,] 0.040368748 0.267750892
## [246,] 1.404264474 -1.478292614
## [247,] 0.978839680 0.483021714
## [248,] 0.603511293 1.157426119
## [249,] 0.692486224 0.040663628
## [250,] -0.722358199 -0.980492359
## [251,] 0.905558470 0.015177064
## [252,] -0.818092266 -0.133033980
## [253,] 0.321527445 -0.257408901
## [254,] -0.070998352 0.016638914
## [255,] 0.637360258 0.497985009
## [256,] -0.183950774 0.629102932
## [257,] 0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,] 0.473512663 0.278870895
## [261,] 0.279643315 -0.373044027
## [262,] 1.231233143 -0.616917441
## [263,] 1.196629303 0.206480172
## [264,] 0.154833871 0.622433628
## [265,] -0.106378218 0.206223917
## [266,] 0.516903811 0.396282048
## [267,] -1.619758037 -0.272082445
## [268,] 0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,] 0.117172450 -0.841650045
## [271,] 0.058390380 0.788983893
## [272,] 0.062226434 -0.005549539
## [273,] 0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,] 0.155305470 -0.417142635
## [276,] 0.258037515 0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091 0.546602298
## [279,] 0.087872999 0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565 0.404085944
## [282,] 0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106 0.170677295
## [285,] -0.054769022 0.159784347
## [286,] -0.357835410 0.115076387
## [287,] -0.335197519 0.362168104
## [288,] 0.068117172 0.532982330
## [289,] -0.109459288 -0.700975579
## [290,] 0.057996353 0.237331002
## [291,] 0.442745185 -0.109642684
## [292,] -0.638324403 0.131842402
## [293,] -0.586836031 -0.339105240
## [294,] 0.622801658 -0.405256743
## [295,] 0.146444590 -1.191554915
## [296,] 0.643560584 0.500112321
## [297,] 0.473122824 1.188323428
## [298,] 0.244203227 0.124670211
## [299,] -0.932773979 -0.723538859
## [300,] 0.720091571 0.108483530
## [301,] -0.501085666 -0.447556210
## [302,] 0.718340959 -0.098268391
## [303,] 0.109617474 -0.207952469
## [304,] 0.030515055 0.610897882
## [305,] -0.400852865 0.425130764
## [306,] -0.037178820 0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,] 0.737576367 0.096973111
# Identifying the scores by their survival status
cancerp_pca <- cbind(data.frame(LUNG_CANCER),cancer_pca$x)
cancerp_pca
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 1 1 -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## 2 1 -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## 3 0 -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## 4 0 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## 5 0 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## 6 1 -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## 7 1 -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## 8 1 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## 9 0 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## 10 1 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## 11 1 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## 12 1 -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## 13 0 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## 14 1 -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## 15 0 -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## 16 1 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## 17 1 -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## 18 1 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## 19 1 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## 20 0 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## 21 1 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## 22 1 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## 23 0 -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## 24 1 -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## 25 1 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## 26 1 -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## 27 1 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## 28 0 -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## 29 1 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## 30 0 -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## 31 0 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## 32 1 -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## 33 0 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## 34 1 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## 35 0 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## 36 1 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## 37 1 -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## 38 0 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## 39 1 -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## 40 1 -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## 41 1 -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## 42 1 -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## 43 1 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## 44 1 -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## 45 1 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## 46 1 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## 47 1 -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## 48 1 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## 49 1 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## 50 0 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## 51 1 -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## 52 1 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## 53 1 -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## 54 1 -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## 55 1 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
## 56 1 0.200650077 2.716951889 1.41770341 -0.952121471 0.740632192
## 57 1 0.518073225 -1.367268061 2.81032243 -0.783212228 -0.937364905
## 58 1 -1.831824121 1.109402015 -0.45190838 -0.415424258 1.192288451
## 59 1 0.685756178 -0.408794213 0.31395717 0.052650501 -0.299515433
## 60 1 -0.498748639 0.460812608 0.14593215 1.348117096 -1.331297016
## 61 1 -0.851501742 1.873535014 1.07688266 1.057769336 1.654911975
## 62 0 1.671406217 -0.423441611 0.01975544 -0.908557402 0.637102625
## 63 1 -1.102287719 0.573598828 1.07737079 0.769959205 1.589212310
## 64 1 0.487489582 1.589885359 -0.52386479 -1.031169208 2.329019058
## 65 1 -1.821523333 0.607204567 2.39323915 0.916516254 0.021873142
## 66 1 1.890194887 0.314196298 0.21915753 1.943292140 0.447955709
## 67 1 -0.908993115 -1.002601881 2.42194180 -0.792706294 0.098085784
## 68 1 -2.188253111 -1.295291142 -0.20414494 0.389988620 -0.418881441
## 69 1 1.922127515 -0.483661450 -0.89450174 1.892882896 -0.799898913
## 70 1 1.831473258 -1.208432390 0.77153641 2.788481409 0.126999960
## 71 1 1.111645609 2.745232439 -1.90160470 0.587416793 -0.459646651
## 72 1 1.972055116 -0.866834386 1.97362887 1.622670501 -1.020641169
## 73 1 -3.014541351 0.230927487 1.82358730 -0.870777134 0.323242135
## 74 1 0.297544932 -3.341535872 -2.66498436 -0.870757883 0.580788533
## 75 1 -3.123513629 -0.202316474 0.02439536 0.353201837 -1.241766589
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## 84 1 -0.735262114 -0.558683606 0.06426583 -0.614419304 3.046112719
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## 89 1 1.355490521 1.048191345 -1.19753355 -1.835391137 0.487381401
## 90 1 -0.217694604 1.268039722 0.47349157 -1.166491895 -0.149140965
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## 110 1 -2.049787993 -0.595265518 -1.39788656 -1.626354625 0.259757990
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## 115 1 -0.832893079 -1.520043078 1.23238975 0.789310913 1.071200271
## 116 1 -0.521560718 -1.774839073 1.77212639 0.062067842 1.766517195
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## 122 1 -3.068643554 -0.358110282 -0.17957410 0.278724442 1.079820384
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## 125 1 -2.166676433 1.025027556 -2.44144452 -0.175700086 0.158619707
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## 134 1 -3.286936885 -0.510578871 -1.06794608 1.550312925 0.014328320
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## 161 1 -0.918911402 0.663806963 1.18690797 -2.128116926 1.024959096
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## 171 1 -0.706487604 1.979788355 1.48164274 0.256635741 0.659195101
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## 173 1 -1.053631487 0.418816948 0.64807542 0.512000760 1.171296835
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## 177 1 -1.025193951 -1.347023632 1.14815308 0.528994073 1.290656942
## 178 1 -2.229264288 -1.622311063 -1.29643165 0.990124308 0.004899612
## 179 1 1.957225328 -0.433792361 -0.55469125 1.069085426 -1.511190662
## 180 1 1.838526733 -1.356872831 0.31115872 2.847776221 0.079447061
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## 182 1 1.811861750 -1.441142807 0.01690577 3.101211177 0.312426585
## 183 1 -3.110670459 -0.364952154 -0.24358794 0.575227017 1.429197339
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## 186 1 -2.269746579 0.759892939 -1.50517585 0.258232091 1.433596248
## 187 1 2.747577269 -0.892695063 0.37334010 -0.956311448 1.532003894
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## 193 1 3.117056920 -0.179410694 -1.10177848 -1.856855416 0.106854315
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## 202 1 -1.270419897 -2.048452421 -0.26872446 -0.709046147 0.847964695
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## 204 1 1.085397022 1.243127916 1.68487628 0.664169343 1.724253118
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## 211 1 -2.105058072 0.929924423 -0.80062808 -1.017803085 0.046453380
## 212 1 0.942418911 0.054526904 1.96648773 1.934291974 1.240767541
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## 219 1 -0.616500433 -0.513737474 0.21506585 -1.061891800 2.369939157
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## 223 1 -0.913971012 0.969266395 1.97298215 -1.716775781 1.472684147
## 224 1 0.313977949 -0.945041768 -0.72531396 0.292773295 -0.288118442
## 225 1 -1.072776501 0.599121897 -0.68085976 1.492600012 0.450812463
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## 228 1 0.014567830 2.117497330 -0.74689429 1.102971967 2.580198736
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## 233 1 -0.736607022 2.290777684 2.53098650 -0.131746814 0.602622034
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## 235 1 -1.021622690 1.026768352 2.49920628 0.201024453 1.131623848
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## 237 1 -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
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## 239 1 -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## 240 1 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
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## 248 1 -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
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## 252 1 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
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## 254 1 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## 255 1 -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
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## 258 1 -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## 259 1 -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## 260 1 -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## 261 1 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
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## 263 0 -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## 264 1 -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## 265 1 -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
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## 269 1 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## 270 1 -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
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## 274 1 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
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## 279 1 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## 280 1 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
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## 285 1 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## 286 1 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
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## 288 1 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## 289 1 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## 290 1 -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## 291 1 -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## 292 1 -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## 293 1 -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## 294 1 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## 295 1 -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
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## 297 1 -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## 298 1 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## 299 1 -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## 300 1 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## 301 1 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## 302 1 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## 303 1 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## 304 1 -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## 305 1 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## 306 1 -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## 307 1 -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## 308 1 -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## 309 1 -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## 1 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## 2 -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## 3 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## 4 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
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## 7 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## 8 -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## 9 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## 10 -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
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## 13 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
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## 18 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
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## 33 1.2290071541 0.4714686091 1.461225803 -0.325889829 -0.2473663898
## 34 -0.0646666045 2.2433620737 0.710404490 -0.950511191 -0.7809675133
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## 36 -0.1422025234 1.3713987956 1.491799348 -0.266482715 -1.0176272530
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## 41 0.3339185093 1.5334741172 -0.742220999 0.397824082 0.6322714144
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## 47 -0.5681313101 1.8002197935 0.989506417 0.151660074 0.5940115661
## 48 0.0650024003 -1.6861801155 -0.882564748 0.225197238 -0.6288864935
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## 50 1.3420468766 -0.3811321637 -0.227571574 -0.652518402 0.3433578516
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## 56 0.6763606802 0.0390138240 2.563417845 0.722616967 -0.3790244685
## 57 1.6946080427 0.0698616819 -0.534759032 0.043136450 1.5033693120
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## 71 0.2163691129 0.2332136225 -1.264055897 0.342708666 0.8105451156
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## 80 0.2603971391 0.8509880060 -1.147268964 -0.332077475 0.4277897576
## 81 1.3454849598 -0.4571683277 -0.020774310 -0.503014456 0.0002491504
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## 84 -0.0620643948 1.6063796501 -1.349044882 0.595672201 0.4284075233
## 85 -0.6206514250 0.4762684616 0.434017829 -0.448693689 1.6330839047
## 86 2.1908847748 0.1637682633 2.454547104 -0.535495194 -0.5434528668
## 87 0.2751173563 2.4020282519 1.387369642 -0.084458879 1.8146097334
## 88 1.6504616104 -0.6662903002 0.575775492 -1.644130385 -0.1523657271
## 89 -0.2146076649 1.4666407787 0.505539732 1.817924110 -0.4343689651
## 90 -2.1768553940 -1.7351397721 -1.333156393 0.080157982 -1.2516603384
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## 96 1.5259187055 -0.9655011371 -0.748051421 -1.302623761 1.4527806508
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## 99 1.0144025218 -0.4992410790 -0.560620283 0.691692676 1.7044333766
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## 120 0.3387541618 -0.6407139977 -0.198961684 0.689511369 1.2276216679
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## 206 1.5353342036 -0.8566145090 -0.870725157 -1.469063084 1.4447359764
## 207 0.2843473182 2.3606655844 0.276786804 1.619469616 0.5927392689
## 208 2.1082846487 0.0794758735 -0.565386610 0.756200838 -0.1403342114
## 209 1.6773717584 0.0450418316 -0.809086210 0.807831385 1.3302258702
## 210 0.6991278108 -0.0095894399 0.179769365 0.836207202 -0.7043745674
## 211 1.2541072676 -0.8600370530 0.744939979 2.134547447 -1.2090722109
## 212 -1.2882696167 1.1553962021 -0.476224826 -0.669127906 0.3736588436
## 213 -0.7026680506 -0.6172392913 0.108360098 0.480835278 0.0133481689
## 214 -0.3097785811 0.0864806846 -0.407527603 -1.022680111 0.4325845747
## 215 0.3030799705 0.1932021189 -0.391930040 0.002912519 0.4835420076
## 216 0.0884210532 0.2639798854 0.060627755 -1.184750704 -0.0865438470
## 217 -0.5076065148 0.8397193769 -0.672936226 -0.646734882 -0.5770894616
## 218 -1.9000416601 -0.6517011170 0.235922306 0.709875493 -0.6982881326
## 219 -0.3537816061 0.8331990739 -0.634960319 0.992090639 0.6400768789
## 220 -0.1420316905 1.5292124380 -0.488210514 -0.825313721 1.2978894992
## 221 -2.7715548775 -1.1711189217 -0.224810404 -1.292249361 0.1126633235
## 222 0.9478196676 -0.5524772989 -0.253200914 -0.863825131 0.5535381578
## 223 -0.3074748126 0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## 224 -1.0298320649 1.0206780718 0.855237899 0.215226261 -0.5046193620
## 225 -1.2212535442 -1.9376653665 -1.617638308 0.884574081 -0.6814473948
## 226 -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## 227 -0.0392305174 0.2615016712 -1.130505607 1.396462056 1.2579694919
## 228 0.2225209433 0.8615858150 1.402180848 0.064659209 -0.2595934931
## 229 0.7412912740 -0.8531850969 -0.013240528 0.088707514 2.0467880852
## 230 -0.7891935436 0.5454448937 1.084975113 -0.692704938 1.1037826112
## 231 -0.2848528400 0.0915404055 -0.959288153 -2.908879872 0.2430427710
## 232 0.3190198692 0.8987541821 -0.848630395 0.972090818 1.6721437422
## 233 -0.3048533945 -0.8294496564 -0.274188663 -0.289207469 0.6960047812
## 234 2.2580891391 -0.3672360792 2.171436426 1.635181116 0.7586462447
## 235 2.2292543596 -0.0922318122 -1.411306251 1.281549337 0.2631799499
## 236 -0.3527796009 0.1126639646 0.675632513 -0.094287409 -1.7323666455
## 237 -0.0255121956 -0.9127629007 -0.187010389 0.243044661 1.7805492648
## 238 -1.2341259405 -1.2470149473 0.454072898 -0.011152504 -0.5126806365
## 239 -1.2742061293 -0.8500378489 2.645838204 0.780696755 0.9179201758
## 240 1.5845528807 0.3445231282 -0.272478651 1.454825603 -0.6233202025
## 241 -1.1153339245 0.9284920103 -1.425772808 0.817089168 -0.3921075456
## 242 0.1514350674 -0.0946406719 -0.023153129 0.525905682 -0.4341328443
## 243 0.1200518159 2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## 244 0.2027959021 -0.0849401635 1.463003500 -1.950875326 -0.9218141608
## 245 -0.7978352078 1.1938858224 -0.299961432 0.614450844 0.9101726144
## 246 0.7396572613 -1.8187328378 -0.722086197 -1.493394128 0.4645379441
## 247 -0.2925104736 1.7654731385 0.900472570 -1.224373692 -1.9931934779
## 248 1.5528942911 -0.3823914320 1.036454458 -0.647625094 0.3524471733
## 249 -1.3878602134 0.1146013481 -0.164370679 1.656090276 -0.3786438121
## 250 0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## 251 0.5619597323 0.8961292302 -1.334701366 0.379131211 0.2574922605
## 252 -1.9119232499 0.6272419580 -0.040167086 0.267890918 -0.3638157824
## 253 -0.6003662352 -0.0860071646 0.036601334 -0.492122827 1.7173048359
## 254 -0.0075139193 -0.5445206700 -0.012862474 0.166851359 -0.9379488813
## 255 -0.3317993324 1.3861884739 0.366675439 -0.608606841 0.8330237465
## 256 -0.1633623299 0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## 257 -0.2232857151 -0.2414764424 -0.056790620 0.475449978 -0.2479260376
## 258 0.6025818559 -0.2811734954 -0.100457057 1.230327282 -0.5999538620
## 259 0.4170038534 1.6903016657 -0.874392374 0.326717780 0.5784111216
## 260 0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## 261 0.1823409035 -1.1936153031 0.214544196 -0.186836394 -0.3278446880
## 262 -1.2715304280 -2.7286452138 -0.103067971 0.538373097 0.3577129850
## 263 1.4670339885 0.0560863487 1.649570038 0.463640188 -0.2575170414
## 264 -1.2367743349 0.6690005850 0.825026937 0.357533884 0.3547903089
## 265 1.1603304648 0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## 266 -0.7338553859 -0.0482649295 -0.773772879 0.957953335 0.2606999512
## 267 0.8889099300 -0.7066213845 -0.312820562 0.509747636 -0.7811957618
## 268 -0.5705395526 0.5542518386 -0.472892785 0.313815624 0.5342072708
## 269 -0.8512332042 -0.4827810745 1.036359939 0.228757735 -1.1577294509
## 270 -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## 271 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## 272 -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## 273 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## 274 -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## 275 -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## 276 -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## 277 -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## 278 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## 279 -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## 280 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## 281 -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## 282 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## 283 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## 284 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## 285 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## 286 -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## 287 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## 288 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## 289 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## 290 -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## 291 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## 292 -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## 293 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## 294 -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## 295 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## 296 -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## 297 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## 298 -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## 299 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## 300 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## 301 -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## 302 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## 303 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## 304 -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## 305 -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## 306 -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## 307 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## 308 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## 309 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## 1 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## 2 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## 3 -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## 4 -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## 5 -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## 6 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## 7 -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## 8 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## 9 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## 10 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## 11 -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## 12 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## 13 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## 14 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## 15 -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## 16 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## 17 -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## 18 -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## 19 -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## 20 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## 21 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## 22 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## 23 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## 24 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## 25 -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## 26 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## 27 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## 28 -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## 29 -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## 30 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## 31 -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## 32 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## 33 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## 34 -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## 35 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## 36 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## 37 -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## 38 -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## 39 -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## 40 -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## 41 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## 42 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## 43 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## 44 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
## 45 -1.614973464 -1.2134306509 1.337189896 0.479254455 -0.7940825244
## 46 -0.822660699 -0.5381476425 1.351054267 -0.871938739 0.2867008044
## 47 -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## 48 -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## 49 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## 50 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## 51 -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## 52 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## 53 -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## 54 -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
## 55 0.059631997 -0.3422837836 0.631467132 -0.430910715 0.7213219035
## 56 1.187959690 -0.3529930654 0.325920926 -0.635921694 -0.3963700610
## 57 -1.516700646 -0.5463492685 -0.689798999 0.290699987 0.6539578856
## 58 0.063045575 -1.5632941214 -0.689317295 0.965257941 -1.1668081449
## 59 -0.585555242 0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## 60 0.168377749 -0.6514696533 0.427877290 -0.691209791 1.1214395016
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## 63 0.562045314 0.6087100581 0.546564854 -1.127522933 0.0423631652
## 64 1.562104579 0.1679151372 -0.759164794 0.914358164 0.4221507490
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## 68 0.243501794 -0.7449588229 0.901164989 -0.639258371 0.2572572643
## 69 0.318511999 0.9865425504 -0.724604727 1.167513640 -0.3950871256
## 70 -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
## 71 0.395563837 -0.6353653669 -1.046143203 -0.395446609 0.4200325778
## 72 -0.132154535 -0.2768798130 0.554030785 0.187167051 -0.2955056307
## 73 0.118025861 0.2219809439 0.236114510 -0.198690863 0.0834334297
## 74 -0.140563287 0.1228052652 0.164854143 0.040425323 -0.2375809416
## 75 0.089152229 0.0810432184 0.008917707 -0.013010484 0.1426505796
## 76 0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
## 77 -0.193686281 0.1925570034 -1.200835531 0.027174662 0.0545096490
## 78 0.225428911 -0.5317507356 -0.751995565 -0.518521957 0.6561825798
## 79 -1.038563904 0.1303494327 1.505910954 -0.006619541 -0.3864339587
## 80 -0.999779797 -0.4491545309 -0.203159284 0.890661824 -0.0687494212
## 81 0.736805720 0.0931148821 -0.548849539 0.929741566 0.1710456599
## 82 0.331212303 -0.6604685218 0.483127310 -0.383953382 0.0299625586
## 83 -0.494038249 -0.1809526966 -0.693029162 -0.321202640 1.2130307510
## 84 -0.247720716 -1.9830952857 -0.064812692 0.673317030 0.2488693728
## 85 0.293303760 -0.2526473413 0.760814035 0.442096802 -0.2483130580
## 86 0.854198843 -1.0578870797 0.246599297 0.268291758 0.0528875299
## 87 0.019427201 -0.7472741460 -0.315263937 -0.339431116 0.8530010449
## 88 0.515099491 2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## 89 0.396677405 1.0281156094 1.251735506 0.365048538 0.6113069945
## 90 -0.196958743 0.1727445012 -0.175979624 0.251242033 0.3075061692
## 91 -0.908803697 -0.4641643806 -1.195676014 1.524708105 0.6341433167
## 92 -0.459819133 0.2415520696 -0.701715520 0.943060828 -0.4390341268
## 93 0.577211676 0.8769549835 0.467237575 -0.293414270 -0.7410211870
## 94 0.376024108 -0.5759689750 0.918623238 1.180562016 -0.2256674920
## 95 0.376550480 -1.1251383134 0.986458836 0.529105777 -1.1761631521
## 96 0.256931250 1.0610395622 -0.053629478 0.064945845 -0.5656595143
## 97 -0.478982591 -0.4067158254 -0.469145662 1.271401627 1.3387050869
## 98 -0.564062512 -3.0245294479 0.224081729 -0.554508893 0.2526254534
## 99 1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## 100 0.031125975 0.5189074993 0.558725281 0.430966100 -0.2377379712
## 101 0.197998438 0.0167154008 0.111369110 -0.132114611 -0.7366617528
## 102 -0.232379694 0.3170869111 -1.303548212 0.056202797 0.0039380143
## 103 0.097994130 -0.0417656755 -0.142942833 -0.152476705 0.2511952063
## 104 -0.978807594 -0.0232077362 1.024213559 -0.137775845 -0.2087744303
## 105 -1.037444131 -0.2112538879 0.033504034 1.106887063 -0.2613662304
## 106 0.297656183 0.2983409313 0.139191347 0.529135533 -0.1804720323
## 107 0.267943255 -0.4792219363 0.621133158 -0.299252011 -0.0977380566
## 108 -0.528340518 0.1251328831 -0.768143809 -0.088742811 1.0350856613
## 109 -0.142842041 -1.8814894234 0.895453078 1.186341067 -0.0392106502
## 110 1.032007126 -0.3873793935 -0.816200335 -0.424840010 0.8279075380
## 111 0.481548479 0.3114823182 0.292619651 0.622543704 0.4464357392
## 112 1.559874683 0.5833313450 0.424954703 0.585170837 0.0450815216
## 113 -1.510634671 0.2747947549 -0.496823920 1.038737062 0.1047037030
## 114 -0.115316858 0.2975403823 -0.012049023 0.494542530 0.1300361673
## 115 -0.188075600 0.8888540550 1.141636781 0.988710888 0.6328114784
## 116 0.056360617 1.0870240618 -0.357582970 -0.380795621 -0.4688026328
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## 118 1.575533621 -0.3750519323 -0.273590252 0.282372467 -0.1540428813
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## 293 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
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## 299 -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## 300 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## 301 -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
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## 305 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
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## 307 -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## 308 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## 309 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## 1 -0.204699168 0.399778790
## 2 0.045288943 0.292915024
## 3 -0.271595154 -0.814045516
## 4 -0.371673537 1.078203419
## 5 0.734034423 0.516096799
## 6 0.370839736 0.464690533
## 7 -0.322143489 0.050306784
## 8 0.531051672 0.194644777
## 9 -1.124665269 -0.473960208
## 10 0.076492553 0.033336741
## 11 -0.534141622 -0.128982341
## 12 0.084037407 -0.456830857
## 13 0.189629446 0.456895464
## 14 -0.016716439 -0.021511422
## 15 0.006422442 -0.329564249
## 16 -0.225723824 -0.788232416
## 17 0.487690414 -0.355745563
## 18 -0.216253994 0.281111017
## 19 -0.357368372 -0.574817902
## 20 -0.121585264 0.153361961
## 21 -0.325279346 0.341539699
## 22 -0.249217026 -0.517074387
## 23 -0.474336582 0.001382573
## 24 0.020601136 -0.029383874
## 25 -0.421748563 -0.176386698
## 26 -0.375057468 0.459319241
## 27 0.157050749 1.283191589
## 28 0.172160415 -1.177121386
## 29 0.840632915 0.308201578
## 30 0.546906491 0.990041317
## 31 1.833637726 0.602301402
## 32 0.899009190 -0.685671003
## 33 0.778795299 0.192681525
## 34 0.282663097 0.192190653
## 35 -0.281726780 -0.102251797
## 36 0.404702630 0.315448071
## 37 0.252701007 -0.080408534
## 38 0.835870432 -0.173405499
## 39 0.794453324 -0.901139864
## 40 -0.664108490 -0.302257112
## 41 -0.699334673 -0.772619337
## 42 0.302214498 0.526431365
## 43 0.215644055 0.008363015
## 44 1.218170500 -0.374050417
## 45 -0.107189826 1.558186080
## 46 -0.014697978 -0.110994738
## 47 -0.314501834 1.085094010
## 48 -0.453323188 1.568209576
## 49 0.371135730 -0.880906339
## 50 0.038378647 -1.504845090
## 51 -0.190277899 -0.215343711
## 52 0.571180847 -0.485102183
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## 55 -0.836682394 1.227393045
## 56 -0.761838666 0.044936466
## 57 -0.093377912 0.519556971
## 58 -0.085545972 0.334201010
## 59 0.820792154 0.214839663
## 60 0.108966172 -0.162975362
## 61 -0.542958636 1.037635542
## 62 -1.090814185 -0.173869707
## 63 0.397950756 0.601928262
## 64 -0.286457614 -0.316048608
## 65 1.423427877 0.100505316
## 66 -1.311470262 -0.340525215
## 67 -0.360979053 0.384060109
## 68 0.046545960 0.364930671
## 69 0.851869088 0.039331283
## 70 0.125575693 0.027204718
## 71 0.339668208 0.511883358
## 72 0.135095885 -0.227962988
## 73 -0.161028009 -0.359990351
## 74 -0.151488592 0.364242693
## 75 0.032547772 -0.019961277
## 76 -0.125258951 -0.040086038
## 77 -0.314385878 -0.543428311
## 78 -0.335717440 0.228175597
## 79 0.400994735 -0.072763914
## 80 -0.528254127 0.151448992
## 81 0.139513375 0.283297565
## 82 -0.005952746 0.259756203
## 83 0.220449326 0.205910512
## 84 0.821389639 -0.280463409
## 85 -0.616768168 -0.143967535
## 86 0.587250538 0.095098054
## 87 -0.057818756 -0.333248457
## 88 -0.618241629 0.030801222
## 89 0.262114853 0.284029297
## 90 -0.441595058 0.570186068
## 91 0.546853402 0.247395413
## 92 -0.954452414 -0.237225566
## 93 -0.690367526 0.648356547
## 94 1.196418062 -0.755162981
## 95 -1.025634831 0.626103061
## 96 -0.491732734 -0.231372581
## 97 0.162249355 0.180426095
## 98 0.601243917 -0.104024116
## 99 -1.217306954 -0.042251874
## 100 0.210795257 -0.266528766
## 101 0.009178791 -0.140306083
## 102 -0.239832184 -0.505299089
## 103 -0.001081145 0.061331010
## 104 0.225753874 0.024185581
## 105 -0.423907862 0.044826848
## 106 -0.049813183 0.066391359
## 107 0.144666199 0.249381777
## 108 0.288291683 0.147150980
## 109 0.683932546 -0.766405649
## 110 -0.165238363 0.413606088
## 111 -0.311500803 0.275308649
## 112 0.470357058 0.841243335
## 113 0.222169322 -1.078565979
## 114 -0.168079224 0.872922772
## 115 0.877633521 1.155793976
## 116 0.248481964 0.515447773
## 117 -0.215599949 0.058770936
## 118 0.514993586 0.210590031
## 119 -0.226150793 -0.086942561
## 120 0.289380434 0.313280968
## 121 0.215127207 -0.235851294
## 122 0.018379895 -0.540713487
## 123 -0.445011923 -1.187395940
## 124 -0.197477228 0.266806473
## 125 -0.289242777 -0.037798448
## 126 -0.565139828 -0.738008042
## 127 -0.159623044 -0.074763111
## 128 0.075685920 0.058279950
## 129 -0.639909303 0.323712286
## 130 0.029766279 0.032157735
## 131 0.251431807 0.393080370
## 132 0.099890861 -0.888438144
## 133 0.278208194 0.028194637
## 134 -0.035768643 0.342225755
## 135 -0.465900314 -0.053961025
## 136 -0.579918745 -0.349760333
## 137 0.000772863 0.151658109
## 138 0.209223668 -1.243826974
## 139 0.869070173 0.233877079
## 140 0.805399365 0.872283165
## 141 0.341425105 0.022592252
## 142 -0.684397168 -0.936264140
## 143 0.869141848 -0.006288726
## 144 -0.404210072 -0.522821842
## 145 0.676296036 -0.021386986
## 146 0.152334617 -0.236617040
## 147 0.100548266 0.546407053
## 148 -0.614292886 0.646342147
## 149 0.157997524 0.030636773
## 150 -0.396764299 -0.190573406
## 151 -0.644069677 -0.846298375
## 152 0.284353292 0.503158969
## 153 0.173424869 0.019842343
## 154 0.044405912 -0.388242074
## 155 0.824834606 0.325438074
## 156 0.121962865 -0.861216712
## 157 -0.442513188 0.702610115
## 158 0.793495320 0.334082201
## 159 0.447669504 -1.216843843
## 160 0.090886418 -1.371108370
## 161 -0.438017503 0.002962693
## 162 0.541409695 -0.450589729
## 163 -0.820401346 0.677621810
## 164 0.226252313 -0.216161914
## 165 -0.677481397 1.415588471
## 166 -0.583691233 0.119191040
## 167 0.293109180 0.174793193
## 168 -0.203669862 0.239594626
## 169 0.743351273 0.219123542
## 170 0.130802257 -0.400058587
## 171 -0.410579567 0.611738612
## 172 -1.026212619 -0.272878294
## 173 0.242101208 0.488238862
## 174 -0.288948646 -0.279987488
## 175 1.601354083 -0.114113845
## 176 -1.520591312 -0.365248874
## 177 -0.085103098 0.421068268
## 178 0.047903515 0.346408715
## 179 0.290577969 0.257721538
## 180 0.058594121 -0.016260362
## 181 0.351179366 0.395519794
## 182 0.067019098 0.018984832
## 183 0.069867765 -0.454941763
## 184 0.068081891 0.334040887
## 185 -0.180412417 0.376233283
## 186 -0.039127144 0.230944364
## 187 -0.461598407 -0.299418857
## 188 -0.863571623 0.415674312
## 189 0.164826381 -0.745791996
## 190 0.055938829 -0.226902271
## 191 -1.130935409 0.447494847
## 192 -0.780931794 -0.127862513
## 193 -0.218573295 -0.492468351
## 194 -0.164408869 -0.368908455
## 195 -0.723395579 0.067538846
## 196 0.685196206 0.204171257
## 197 0.169355098 -0.549958598
## 198 -0.769993878 0.122808536
## 199 0.128325234 0.614367708
## 200 -0.115885447 0.264880595
## 201 0.569809145 0.268030342
## 202 -1.012129894 -0.350160623
## 203 -0.449618464 0.852052206
## 204 1.060227957 -0.534824136
## 205 -0.614394865 0.846168128
## 206 -0.773683331 0.063697140
## 207 0.510641502 0.044842721
## 208 0.539028601 -0.851370448
## 209 -1.093386790 -0.122726928
## 210 -0.155246654 0.001096426
## 211 -0.194613598 -0.072297240
## 212 -0.321072705 -0.504598778
## 213 0.179998006 -0.184224234
## 214 0.259444768 0.009943970
## 215 -0.780618138 0.139516314
## 216 -0.198320989 0.234820841
## 217 0.268641865 0.234126153
## 218 0.453731649 -0.077289733
## 219 1.088579218 -0.729502626
## 220 -0.676442863 0.168806418
## 221 0.347355852 -1.056801166
## 222 -0.165990170 -1.283069689
## 223 0.332638512 -0.293672149
## 224 0.795452124 -0.679781217
## 225 -0.988260241 0.662611902
## 226 0.110787399 -0.291810588
## 227 -0.252893278 0.923464117
## 228 -0.433616613 0.144755671
## 229 0.066773967 0.275017663
## 230 0.063241523 -0.101200129
## 231 1.179012497 0.462607684
## 232 -0.019352945 -0.148293626
## 233 -0.615282088 0.926318797
## 234 -0.681058673 -0.744278153
## 235 0.786713435 0.356755296
## 236 -0.374744887 -0.315348333
## 237 1.269945960 0.064941224
## 238 -1.574325649 -0.425168932
## 239 -0.740202720 0.388446323
## 240 -0.117226699 -0.428558305
## 241 0.955826543 -0.268608022
## 242 -0.232986784 0.174246513
## 243 -0.030911579 -0.178010067
## 244 -1.116037385 -0.443587411
## 245 0.040368748 0.267750892
## 246 1.404264474 -1.478292614
## 247 0.978839680 0.483021714
## 248 0.603511293 1.157426119
## 249 0.692486224 0.040663628
## 250 -0.722358199 -0.980492359
## 251 0.905558470 0.015177064
## 252 -0.818092266 -0.133033980
## 253 0.321527445 -0.257408901
## 254 -0.070998352 0.016638914
## 255 0.637360258 0.497985009
## 256 -0.183950774 0.629102932
## 257 0.001359994 -0.002573657
## 258 -0.199281757 -0.231513525
## 259 -0.767591488 -0.674397629
## 260 0.473512663 0.278870895
## 261 0.279643315 -0.373044027
## 262 1.231233143 -0.616917441
## 263 1.196629303 0.206480172
## 264 0.154833871 0.622433628
## 265 -0.106378218 0.206223917
## 266 0.516903811 0.396282048
## 267 -1.619758037 -0.272082445
## 268 0.326323508 -0.089511243
## 269 -0.174273385 -0.580481396
## 270 0.117172450 -0.841650045
## 271 0.058390380 0.788983893
## 272 0.062226434 -0.005549539
## 273 0.120922819 -0.511551264
## 274 -0.104788706 -0.658045736
## 275 0.155305470 -0.417142635
## 276 0.258037515 0.001018338
## 277 -0.471111047 -0.560894424
## 278 -0.009003091 0.546602298
## 279 0.087872999 0.607421705
## 280 -0.181710770 -0.644080424
## 281 -0.184704565 0.404085944
## 282 0.381975583 -0.300021491
## 283 -0.599984450 -0.026298504
## 284 -0.130302106 0.170677295
## 285 -0.054769022 0.159784347
## 286 -0.357835410 0.115076387
## 287 -0.335197519 0.362168104
## 288 0.068117172 0.532982330
## 289 -0.109459288 -0.700975579
## 290 0.057996353 0.237331002
## 291 0.442745185 -0.109642684
## 292 -0.638324403 0.131842402
## 293 -0.586836031 -0.339105240
## 294 0.622801658 -0.405256743
## 295 0.146444590 -1.191554915
## 296 0.643560584 0.500112321
## 297 0.473122824 1.188323428
## 298 0.244203227 0.124670211
## 299 -0.932773979 -0.723538859
## 300 0.720091571 0.108483530
## 301 -0.501085666 -0.447556210
## 302 0.718340959 -0.098268391
## 303 0.109617474 -0.207952469
## 304 0.030515055 0.610897882
## 305 -0.400852865 0.425130764
## 306 -0.037178820 0.247090067
## 307 -0.562633443 -0.019336438
## 308 -0.714004235 -0.783153726
## 309 0.737576367 0.096973111
# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),mean)
tabmeansPC
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 1 0 0.33366607 -1.0169661 -0.7839497 -1.097169 0.010636897
## 2 1 -0.04819621 0.1468951 0.1132372 0.158480 -0.001536441
## PC6 PC7 PC8 PC9 PC10 PC11
## 1 0.8480279 -0.13586975 0.09232115 -0.14776307 -0.07819061 -0.18188979
## 2 -0.1224929 0.01962563 -0.01333528 0.02134355 0.01129420 0.02627297
## PC12 PC13 PC14
## 1 0.11610476 -0.21705424 0.11768416
## 2 -0.01677069 0.03135228 -0.01699882
# The output shows that for most of the principal components (PC2 to PC14), the mean scores are higher for the non-survivors compared to the survivors. However, for PC1, the mean score is higher for the survivors compared to the non-survivors.This suggests that the first principal component may be particularly important in differentiating between survivors and non-survivors of lung cancer. The other principal components may also provide some information on differences between the two groups, but their importance may be more limited.
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$LUNG_CANCER)),]
tabmeansPC
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 2 1 -0.04819621 0.1468951 0.1132372 0.158480 -0.001536441
## 1 0 0.33366607 -1.0169661 -0.7839497 -1.097169 0.010636897
## PC6 PC7 PC8 PC9 PC10 PC11
## 2 -0.1224929 0.01962563 -0.01333528 0.02134355 0.01129420 0.02627297
## 1 0.8480279 -0.13586975 0.09232115 -0.14776307 -0.07819061 -0.18188979
## PC12 PC13 PC14
## 2 -0.01677069 0.03135228 -0.01699882
## 1 0.11610476 -0.21705424 0.11768416
#This output is useful for comparing the mean scores of the different principal components based on the survival status of the patients. The negative values for some of the principal components suggest that these components have an inverse relationship with the survival status of the patients.
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
## 2 1
## PC1 -0.048196210 0.33366607
## PC2 0.146895102 -1.01696609
## PC3 0.113237181 -0.78394971
## PC4 0.158479973 -1.09716904
## PC5 -0.001536441 0.01063690
## PC6 -0.122492912 0.84802785
## PC7 0.019625631 -0.13586975
## PC8 -0.013335277 0.09232115
## PC9 0.021343555 -0.14776307
## PC10 0.011294199 -0.07819061
## PC11 0.026272969 -0.18188979
## PC12 -0.016770687 0.11610476
## PC13 0.031352279 -0.21705424
## PC14 -0.016998823 0.11768416
#The rows represent each of the PCs and the columns represent the two groups. For example, the first row represents the mean values of PC1 for both groups. The value in the first row and second column (-0.048196210) indicates that the mean value of PC1 for the group classified as 2 is negative and smaller than the mean value of PC1 for the group classified as 1, which is represented by the value in the first row and first column (0.33366607).
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$LUNG_CANCER))
tabfmeans
## 1 0
## PC1 -0.048196210 0.33366607
## PC2 0.146895102 -1.01696609
## PC3 0.113237181 -0.78394971
## PC4 0.158479973 -1.09716904
## PC5 -0.001536441 0.01063690
## PC6 -0.122492912 0.84802785
## PC7 0.019625631 -0.13586975
## PC8 -0.013335277 0.09232115
## PC9 0.021343555 -0.14776307
## PC10 0.011294199 -0.07819061
## PC11 0.026272969 -0.18188979
## PC12 -0.016770687 0.11610476
## PC13 0.031352279 -0.21705424
## PC14 -0.016998823 0.11768416
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$LUNG_CANCER))
tabfsds
## 0 1
## PC1 1.1609600 1.7524300
## PC2 1.5776135 1.3108022
## PC3 1.3045548 1.2613646
## PC4 1.1200050 1.1441594
## PC5 1.1304709 1.1454427
## PC6 1.0748310 0.9720025
## PC7 0.8220952 0.9970793
## PC8 1.1019348 0.9205512
## PC9 0.9200968 0.9004061
## PC10 0.6403545 0.8712853
## PC11 0.8557198 0.7849393
## PC12 0.7749977 0.7640128
## PC13 0.6910340 0.7296813
## PC14 0.6131616 0.7318746
t.test(PC1~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC1 by cancer$LUNG_CANCER
## t = 1.7817, df = 66.117, p-value = 0.07939
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -0.04603076 0.80975531
## sample estimates:
## mean in group 0 mean in group 1
## 0.33366607 -0.04819621
t.test(PC2~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC2 by cancer$LUNG_CANCER
## t = -4.3933, df = 45.892, p-value = 6.533e-05
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -1.6971443 -0.6305781
## sample estimates:
## mean in group 0 mean in group 1
## -1.0169661 0.1468951
t.test(PC3~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC3 by cancer$LUNG_CANCER
## t = -4.0313, df = 48.83, p-value = 0.0001939
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -1.3444652 -0.4499086
## sample estimates:
## mean in group 0 mean in group 1
## -0.7839497 0.1132372
t.test(PC4~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC4 by cancer$LUNG_CANCER
## t = -6.5267, df = 50.159, p-value = 3.26e-08
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -1.6420402 -0.8692579
## sample estimates:
## mean in group 0 mean in group 1
## -1.097169 0.158480
t.test(PC5~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC5 by cancer$LUNG_CANCER
## t = 0.062756, df = 49.951, p-value = 0.9502
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -0.3774538 0.4018004
## sample estimates:
## mean in group 0 mean in group 1
## 0.010636897 -0.001536441
# The output shows that the p-value is 0.07939, which is above the significance level of 0.05, indicating that we cannot reject the null hypothesis of no difference in means between the two groups at the 5% significance level for PC1. Similarly we can do this for other PC's as well.
plot(eigen_cancer, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")
plot(log(eigen_cancer), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")
print(summary(cancer_pca))
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
#The first three PCs (PC1, PC2, and PC3) account for a total of 38.5% of the variance in the data. The first seven PCs (PC1-PC7) together explain 66.5% of the variance, and the first 14 PCs explain 94.1% of the variance. Therefore, it appears that most of the variance in the data is captured by the first few PCs. The summary also indicates that the standard deviation of each PC decreases as the PC index increases. This means that the amount of variation explained by each PC decreases as the index increases. The proportion of variance and cumulative proportion of each PC follow a similar pattern.
cancer_pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## [2,] -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## [3,] -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## [4,] 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## [5,] 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## [6,] -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## [7,] -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## [8,] 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## [9,] 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## [10,] 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## [11,] 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## [12,] -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## [13,] 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## [14,] -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## [15,] -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## [16,] 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## [17,] -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## [18,] 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## [19,] 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## [20,] 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## [21,] 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## [22,] 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## [24,] -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## [25,] 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
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## [236,] 0.511871527 1.643341139 -0.30949731 -1.318210021 2.062253193
## [237,] -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
## [238,] 1.973432877 0.329461293 0.39577264 1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## [240,] 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
## [241,] 0.567970913 -1.465901428 -1.40821954 -1.475588124 1.328585265
## [242,] -3.128591618 -0.100406746 0.42598650 -0.002631206 -1.449540091
## [243,] 0.921300172 2.566347959 0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712 0.50896513 0.494931879 0.794661098
## [245,] 0.727027732 -1.433071548 -1.59685113 0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257 0.40464481 -0.405256608 -0.735537650
## [247,] 1.137562086 1.419593842 0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
## [249,] 0.206337661 -1.720761209 1.11360977 0.581416058 0.745153770
## [250,] 0.582400965 -1.654341741 -4.03720871 0.592072897 0.127026158
## [251,] 1.852485410 0.064395647 0.86057895 0.277190722 -1.725563610
## [252,] 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
## [253,] 1.320083419 3.019301770 -0.60379759 -0.838972788 0.575723760
## [254,] 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## [255,] -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
## [256,] 0.184324517 -1.188753076 0.66614989 0.264048756 2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557 0.580820285 -1.073009725
## [258,] -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## [260,] -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## [261,] 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
## [266,] 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## [267,] 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,] 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,] 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## [270,] -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## [271,] 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## [273,] -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## [274,] 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## [275,] -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,] 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,] 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## [278,] 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## [279,] 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## [280,] 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,] 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## [285,] 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,] 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## [287,] 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## [288,] 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## [289,] 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## [291,] -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## [292,] -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## [293,] -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## [294,] 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## [296,] 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## [298,] 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## [300,] 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## [301,] 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## [302,] 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,] 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## [304,] -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## [305,] 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## [307,] -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## [309,] -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## [1,] 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## [2,] -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## [3,] 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## [4,] 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## [5,] 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## [6,] -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## [7,] 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## [8,] -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## [9,] 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## [10,] -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## [11,] -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## [12,] -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## [13,] 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## [14,] -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## [15,] 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## [16,] -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## [17,] -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## [18,] 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## [19,] 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## [20,] -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## [21,] -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## [22,] 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## [23,] -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## [24,] -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## [25,] -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## [26,] 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## [27,] -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## [28,] 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## [29,] -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
## [30,] 1.0710626285 -1.3284110672 1.834728862 -0.381994526 0.6811806747
## [31,] 0.8185042829 0.1595997123 0.965113863 0.982824838 -0.1867421466
## [32,] -0.5116245789 0.2213173362 0.411993823 -0.538385421 -1.0926900877
## [33,] 1.2290071541 0.4714686091 1.461225803 -0.325889829 -0.2473663898
## [34,] -0.0646666045 2.2433620737 0.710404490 -0.950511191 -0.7809675133
## [35,] 2.4754853111 0.2893439181 0.923999043 -0.982576123 0.6579637222
## [36,] -0.1422025234 1.3713987956 1.491799348 -0.266482715 -1.0176272530
## [37,] 0.8160953361 0.5636397794 2.230793234 -1.029467745 0.4891853321
## [38,] -0.3534221454 -0.7417774978 1.638132555 -1.319142919 -1.6484147935
## [39,] -0.1721706898 0.0335387929 1.024852681 -1.148675650 -1.2064988678
## [40,] -1.1755253233 -0.3055779800 0.531840085 0.641114542 -0.3585174104
## [41,] 0.3339185093 1.5334741172 -0.742220999 0.397824082 0.6322714144
## [42,] 0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
## [43,] 1.0164937988 0.2833156337 -0.990443898 -0.608638156 -0.8755992881
## [44,] -0.6089020677 -1.6271801419 -0.979063296 0.261435435 -0.0709340761
## [45,] -0.2960954667 -0.0609937498 -0.506122202 0.560648901 -0.3045133671
## [46,] -0.4779798997 0.7123433988 -0.252310393 -1.474850571 -0.4690179776
## [47,] -0.5681313101 1.8002197935 0.989506417 0.151660074 0.5940115661
## [48,] 0.0650024003 -1.6861801155 -0.882564748 0.225197238 -0.6288864935
## [49,] -1.3100505736 0.3797064291 -1.171015537 -1.344665437 -0.7421368508
## [50,] 1.3420468766 -0.3811321637 -0.227571574 -0.652518402 0.3433578516
## [51,] -0.8400332772 -1.4635314100 -1.078142846 0.099897456 -0.1895171928
## [52,] -0.8236403909 1.1294305256 0.840477295 0.190213575 -0.6073655522
## [53,] -0.7293181061 -2.1049759827 -1.159698724 1.358785707 -0.9020524475
## [54,] -2.3456226474 -1.5198752771 0.052128540 -0.129470207 -0.1026399486
## [55,] -0.8361005036 -0.9337361769 -0.234221327 1.426062323 1.7765311821
## [56,] 0.6763606802 0.0390138240 2.563417845 0.722616967 -0.3790244685
## [57,] 1.6946080427 0.0698616819 -0.534759032 0.043136450 1.5033693120
## [58,] -0.3582806110 1.6811886957 0.042283265 -1.182450667 0.7849571961
## [59,] -1.3495183401 -2.2578695319 1.090262317 -2.250237313 1.0030432414
## [60,] 0.2690629341 1.1554971565 -1.160881822 0.832217716 1.6653117813
## [61,] -0.7234518984 -0.6127871702 -0.742339680 -0.649836684 0.8693699595
## [62,] 2.7376481997 0.5069278238 1.443017228 1.237888114 0.4514609616
## [63,] 1.4658335990 -0.9257069648 -0.898460096 1.182587630 0.7225827545
## [64,] -0.3455726719 0.3440809009 0.421923404 -0.198799051 -1.7624832578
## [65,] 1.0291862289 0.3015066007 -0.973691647 0.197857462 1.1499283042
## [66,] -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
## [67,] -0.8224879637 0.4260268121 1.467835590 0.414959404 0.5598897961
## [68,] 1.4683182389 -0.1736121977 0.029019490 -0.125692739 -1.4472406140
## [69,] -1.1647333718 1.0018628504 -2.021014782 0.026036013 0.7065863902
## [70,] 0.7122713714 0.4831732842 -0.770951147 0.048311261 -1.3917275625
## [71,] 0.2163691129 0.2332136225 -1.264055897 0.342708666 0.8105451156
## [72,] 0.8927285143 -0.0892148898 -0.031393992 0.512702951 -1.4173886846
## [73,] -0.1471944405 0.8343504360 0.160820099 -0.725256307 0.0941240714
## [74,] -1.2948417212 -0.0557786798 -0.137358569 -0.634600071 -0.5015041758
## [75,] -0.0085485247 -0.0638697694 -0.138921766 0.508917015 -0.3690218531
## [76,] 0.8865859209 -0.8394523284 0.524187877 1.924133725 -1.0392422670
## [77,] -0.9823598934 1.2710772242 -0.440050417 -0.551349005 0.2165906641
## [78,] -0.3369973922 -0.5403419775 0.209784606 0.463483093 -0.1534376132
## [79,] 0.0259121267 0.4476842656 -0.627700825 -0.986909443 0.2319467291
## [80,] 0.2603971391 0.8509880060 -1.147268964 -0.332077475 0.4277897576
## [81,] 1.3454849598 -0.4571683277 -0.020774310 -0.503014456 0.0002491504
## [82,] -1.3530858031 -0.3732312052 0.223143075 -0.520275980 -0.0422490303
## [83,] -0.7627017522 0.3161724869 -0.237643091 0.721497336 -1.3314564476
## [84,] -0.0620643948 1.6063796501 -1.349044882 0.595672201 0.4284075233
## [85,] -0.6206514250 0.4762684616 0.434017829 -0.448693689 1.6330839047
## [86,] 2.1908847748 0.1637682633 2.454547104 -0.535495194 -0.5434528668
## [87,] 0.2751173563 2.4020282519 1.387369642 -0.084458879 1.8146097334
## [88,] 1.6504616104 -0.6662903002 0.575775492 -1.644130385 -0.1523657271
## [89,] -0.2146076649 1.4666407787 0.505539732 1.817924110 -0.4343689651
## [90,] -2.1768553940 -1.7351397721 -1.333156393 0.080157982 -1.2516603384
## [91,] 1.0186361905 -2.0232826855 -0.799342765 -0.912119506 -1.0274541464
## [92,] -0.2200662088 1.8899057953 -0.629502096 -0.091212678 0.6710501797
## [93,] -1.0107223981 -0.8968021944 -0.126530551 -0.421850393 -1.4183187612
## [94,] -1.1577149024 -0.0636793450 1.564665414 0.807153497 -0.0043867516
## [95,] -1.5072647311 0.0592587589 0.582670492 -0.164119150 0.3775130916
## [96,] 1.5259187055 -0.9655011371 -0.748051421 -1.302623761 1.4527806508
## [97,] -0.1637854681 1.5368529740 0.950410816 1.721597416 0.9008138964
## [98,] 0.9508989263 -0.8494160616 -0.248636294 0.471625838 0.4169054384
## [99,] 1.0144025218 -0.4992410790 -0.560620283 0.691692676 1.7044333766
## [100,] -0.3562594091 -0.5342511547 0.203608313 0.652327066 -0.1601264925
## [101,] 0.3708067531 -1.1246810404 0.567242964 1.835325079 -0.7690079514
## [102,] -1.1290063766 1.4719086875 -0.743095409 -0.735893847 0.2628648726
## [103,] 0.2041381246 0.2229040775 -0.345847951 0.449964713 -0.4987912831
## [104,] -0.8695346006 -0.3409421701 -0.232314140 -1.113917852 0.7431986222
## [105,] 0.0723947812 0.6925719895 -1.069418071 -0.310371025 0.5304621119
## [106,] -0.0554569866 0.0755250438 0.196947992 -1.101256206 -0.0028281165
## [107,] -1.0389338753 0.2008116952 -0.247093174 -0.624737779 -0.2552554493
## [108,] -1.7760017934 -0.3625785345 -0.024329847 0.546246507 -0.7826981967
## [109,] -0.6959887781 -0.5506915739 0.722714406 1.481103955 0.9582937953
## [110,] -1.5009075090 -0.2694747464 0.242771907 -1.313300537 1.7446768220
## [111,] 0.7721592121 -0.5007936668 1.741059639 -1.582473312 0.5383504753
## [112,] -0.1786876761 1.0043210869 -0.076456082 -0.295559463 0.6303679021
## [113,] 1.0975871227 -0.7515649166 -0.976754994 -0.483134189 -0.1330556079
## [114,] 0.8109343836 -0.0744906829 0.525611419 -0.724544164 0.2928001118
## [115,] 1.6989983193 0.2889697648 0.580747364 0.065922053 -0.5144149776
## [116,] -0.2374686197 1.2887322457 0.673565647 0.620826656 -0.1856408041
## [117,] 0.8656125423 -0.6423756808 0.379169440 -0.454051005 -0.7442702200
## [118,] -0.5384903355 -0.4441595600 -0.224210212 1.318922104 0.2098020718
## [119,] -0.3552300797 -1.4745007896 0.838083505 0.467445375 -0.6716257921
## [120,] 0.3387541618 -0.6407139977 -0.198961684 0.689511369 1.2276216679
## [121,] 0.9136912900 0.2426837929 -0.602595371 -0.581945067 -0.7445689248
## [122,] -1.1391646868 0.1148555047 0.433621924 -0.820832543 0.6339637929
## [123,] 0.1651649186 0.7809959958 0.376483824 -0.884545536 -0.5064679539
## [124,] -0.7451062410 1.6588536662 0.946834768 1.341799538 -1.1139316268
## [125,] 0.8235605948 0.7164128606 -0.963286338 1.235061630 0.4581502578
## [126,] -1.2672067972 -0.0068735808 0.836256857 1.088810772 2.0241027825
## [127,] -0.0077115597 -1.4676015751 0.832255495 -0.458713706 -0.2460666886
## [128,] -0.3383763662 -0.2722116474 -0.024674611 -0.888835497 0.4888132531
## [129,] 0.7419381633 -0.1076489376 0.029390947 0.658058499 -0.0578570215
## [130,] 0.4638030230 0.5378067703 -0.038345799 -1.038889873 -0.2992065070
## [131,] 0.0945553526 -0.9337798477 0.063322004 0.148915534 -0.0602388136
## [132,] 1.2095806065 -0.6453998127 0.638445956 1.914751260 -0.3481466341
## [133,] -1.3843500914 0.8000989766 -0.537640722 0.703789691 -0.5316666565
## [134,] -0.0455328316 0.7556806541 -1.079006294 -0.041677733 -0.4355276635
## [135,] 0.0231238238 1.6988749691 0.703402459 0.445462885 -0.9924850506
## [136,] 1.7888091581 0.0585350854 0.594625140 -1.524956540 -1.0868101484
## [137,] -0.9717704657 0.6457854708 0.219401552 0.829861806 1.0510281059
## [138,] 1.1832826573 -1.0601524697 -0.796831970 -1.180393963 0.5788461576
## [139,] -0.0508669693 0.9429216129 1.951171888 -0.613932393 -2.0182766483
## [140,] 2.0870227677 -0.3011120027 1.238775379 -0.296857101 0.0855744387
## [141,] -1.4389026065 -0.8796265990 0.915326198 2.103435482 -0.2405369992
## [142,] 0.3051253884 -0.1952539981 0.443883211 -0.826697048 -0.4671736948
## [143,] -0.0369880082 0.3343112252 -1.030124644 0.345427832 0.6008144372
## [144,] -2.0400765567 0.5119759210 0.028013880 0.415284019 -0.3025763820
## [145,] 0.0930397639 -0.6174323406 -0.562455850 -0.263503826 2.0504662305
## [146,] 0.2528038411 -0.5038819253 0.087127034 0.383882144 -1.0715888920
## [147,] -0.8005831934 -0.1851281935 1.863196139 -0.131122830 1.2344499680
## [148,] -1.2396387560 -1.4756288359 -0.010519121 -1.086185872 0.6454765490
## [149,] 0.3454322958 0.6440632709 -0.738175847 0.337190365 -0.6142109170
## [150,] 1.0461288333 -0.3753863876 0.241411442 1.484269431 -0.7944864282
## [151,] 0.4209853126 1.5278721225 -0.687656836 0.474918495 0.5901247880
## [152,] 0.6397347854 -2.2017917867 -1.407752004 -0.261232284 -0.4801552665
## [153,] 0.2325984366 -0.3262884833 -0.732604948 -0.727790279 -0.4395895903
## [154,] 1.7338435668 -0.3562352562 -2.052488478 -0.296390537 0.0705721633
## [155,] 1.0210620303 0.3541803589 -0.677654700 1.131487179 -0.6532506045
## [156,] -0.0180242128 0.9453445750 -1.094053230 -0.793053986 0.9228261852
## [157,] 1.1350807495 0.1674140587 1.243957952 0.085922136 0.1750268486
## [158,] 0.4899893085 -1.1671787616 -0.681688653 0.926498219 0.7351731185
## [159,] -1.6011891275 -0.5675271901 -0.265382182 -0.912439898 -0.5072070942
## [160,] 0.8174613115 -0.2245479761 -0.686193244 -1.048232404 0.5737234783
## [161,] -1.1636492127 -1.7089218451 -0.983401957 -0.039235966 -0.0037856410
## [162,] -1.4764985239 0.7060534460 0.960802202 0.041287018 -0.2532281652
## [163,] 0.0123849297 -0.6225543814 -2.420133891 0.891850886 -1.4077121018
## [164,] -1.7770760442 -0.1299594593 -1.195363581 -0.588911094 -0.5208351046
## [165,] -0.2199517199 0.4277816483 -1.423403106 1.025766645 1.3378403183
## [166,] 0.2780319606 0.4388036958 1.903119075 0.301594364 -0.2373823573
## [167,] 0.6121603471 -0.6378332192 -0.319995207 -0.037338226 2.0790400840
## [168,] -0.7707938729 0.8283199021 0.772443060 -0.954741742 1.0728323789
## [169,] -1.2021527111 -2.3460650000 1.267380424 -2.135401657 0.9447027093
## [170,] -0.7205278287 -0.1291437145 -0.256494050 1.025728132 2.2676347800
## [171,] -1.0264924611 -1.6772936407 0.289434663 -0.132068480 1.1206742753
## [172,] 2.2782600232 0.0826961192 1.671016160 1.242534575 0.7115186472
## [173,] 0.8998145765 -2.0343515648 0.034489718 1.459591140 1.1109537286
## [174,] -0.6761343382 0.2146982763 0.387838889 -0.321613878 -1.5924299842
## [175,] 1.3497806076 0.3745604622 -0.878306889 0.414728710 0.9856275880
## [176,] -1.4501292141 -1.0857408632 0.157376686 -0.221442977 -0.4288626087
## [177,] -1.0214775390 1.1091632617 0.599886515 -0.021933204 0.5747927226
## [178,] 0.9320217107 -0.5867890683 0.201682913 -0.198283475 -1.1501934465
## [179,] -1.3591435209 0.0330178224 -1.051696479 0.291954748 0.9157083789
## [180,] 0.3486106719 -0.0599003018 -0.360551765 0.134912154 -1.1608604319
## [181,] 0.3677946878 0.0377246467 -0.962664974 0.559060480 0.7590612137
## [182,] 0.2758235097 0.0118436664 -0.480229844 0.049761629 -1.1341711040
## [183,] -0.9741297245 0.6021690226 -0.022182872 -0.999941633 0.5033614307
## [184,] -0.1010498318 1.2385747039 -0.937122001 -0.619518881 -1.2081725818
## [185,] 0.3706486873 0.7600695114 -0.861416151 0.154897374 -0.6289121694
## [186,] 1.5819467904 0.6204102094 -0.733805428 1.484436263 -1.5236970667
## [187,] 0.7652837924 0.4368488852 -1.076046923 -0.420415389 0.5967887802
## [188,] 1.2777193864 -1.2604820337 -0.557196949 0.016967831 -0.2540919744
## [189,] 0.8515111665 0.4899797137 -0.268220706 0.182423727 0.1965403010
## [190,] 0.7538761858 -0.4793833475 -1.430310635 0.854569132 0.1975468785
## [191,] 1.3256558842 0.4895357181 -0.900549936 -0.719720641 -0.6862211995
## [192,] -0.8281213472 -0.8545482639 -0.306147756 0.460734554 0.3932732045
## [193,] 0.1138488915 -0.4218965365 0.558712757 1.083030456 -0.0679257010
## [194,] 1.0918867660 -0.4414858098 -0.867641233 -0.154848657 -0.2057153022
## [195,] -0.0361418701 1.1940454863 -0.056101725 -0.572886618 1.2842161588
## [196,] 1.7467046384 0.4230309211 1.925306225 -0.928240235 -0.3631585981
## [197,] -0.4171954059 1.9082983690 1.570395017 -0.118208163 2.1876612889
## [198,] 1.3136000892 -1.0284662359 0.796197497 -1.683831453 0.0492111750
## [199,] 0.0235462607 2.2138935840 -0.205790580 1.454668455 -0.6216761071
## [200,] -1.9391008388 -1.5916732020 -1.358576237 0.258672413 -1.3882423287
## [201,] 0.5061086374 -2.2539731423 -0.817921519 -1.074066868 -0.7613814886
## [202,] -1.5006946642 0.5518371759 0.175508173 -0.071826492 1.4188995711
## [203,] -0.6275023585 0.5611925357 -1.548379259 -0.992608594 -1.7591623977
## [204,] -0.6194051296 0.5711016494 1.141953344 0.694678859 -0.3218729187
## [205,] -0.9273606014 2.1383255449 -1.425359927 -0.932253579 -0.1262317369
## [206,] 1.5353342036 -0.8566145090 -0.870725157 -1.469063084 1.4447359764
## [207,] 0.2843473182 2.3606655844 0.276786804 1.619469616 0.5927392689
## [208,] 2.1082846487 0.0794758735 -0.565386610 0.756200838 -0.1403342114
## [209,] 1.6773717584 0.0450418316 -0.809086210 0.807831385 1.3302258702
## [210,] 0.6991278108 -0.0095894399 0.179769365 0.836207202 -0.7043745674
## [211,] 1.2541072676 -0.8600370530 0.744939979 2.134547447 -1.2090722109
## [212,] -1.2882696167 1.1553962021 -0.476224826 -0.669127906 0.3736588436
## [213,] -0.7026680506 -0.6172392913 0.108360098 0.480835278 0.0133481689
## [214,] -0.3097785811 0.0864806846 -0.407527603 -1.022680111 0.4325845747
## [215,] 0.3030799705 0.1932021189 -0.391930040 0.002912519 0.4835420076
## [216,] 0.0884210532 0.2639798854 0.060627755 -1.184750704 -0.0865438470
## [217,] -0.5076065148 0.8397193769 -0.672936226 -0.646734882 -0.5770894616
## [218,] -1.9000416601 -0.6517011170 0.235922306 0.709875493 -0.6982881326
## [219,] -0.3537816061 0.8331990739 -0.634960319 0.992090639 0.6400768789
## [220,] -0.1420316905 1.5292124380 -0.488210514 -0.825313721 1.2978894992
## [221,] -2.7715548775 -1.1711189217 -0.224810404 -1.292249361 0.1126633235
## [222,] 0.9478196676 -0.5524772989 -0.253200914 -0.863825131 0.5535381578
## [223,] -0.3074748126 0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## [224,] -1.0298320649 1.0206780718 0.855237899 0.215226261 -0.5046193620
## [225,] -1.2212535442 -1.9376653665 -1.617638308 0.884574081 -0.6814473948
## [226,] -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## [227,] -0.0392305174 0.2615016712 -1.130505607 1.396462056 1.2579694919
## [228,] 0.2225209433 0.8615858150 1.402180848 0.064659209 -0.2595934931
## [229,] 0.7412912740 -0.8531850969 -0.013240528 0.088707514 2.0467880852
## [230,] -0.7891935436 0.5454448937 1.084975113 -0.692704938 1.1037826112
## [231,] -0.2848528400 0.0915404055 -0.959288153 -2.908879872 0.2430427710
## [232,] 0.3190198692 0.8987541821 -0.848630395 0.972090818 1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469 0.6960047812
## [234,] 2.2580891391 -0.3672360792 2.171436426 1.635181116 0.7586462447
## [235,] 2.2292543596 -0.0922318122 -1.411306251 1.281549337 0.2631799499
## [236,] -0.3527796009 0.1126639646 0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389 0.243044661 1.7805492648
## [238,] -1.2341259405 -1.2470149473 0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489 2.645838204 0.780696755 0.9179201758
## [240,] 1.5845528807 0.3445231282 -0.272478651 1.454825603 -0.6233202025
## [241,] -1.1153339245 0.9284920103 -1.425772808 0.817089168 -0.3921075456
## [242,] 0.1514350674 -0.0946406719 -0.023153129 0.525905682 -0.4341328443
## [243,] 0.1200518159 2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,] 0.2027959021 -0.0849401635 1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078 1.1938858224 -0.299961432 0.614450844 0.9101726144
## [246,] 0.7396572613 -1.8187328378 -0.722086197 -1.493394128 0.4645379441
## [247,] -0.2925104736 1.7654731385 0.900472570 -1.224373692 -1.9931934779
## [248,] 1.5528942911 -0.3823914320 1.036454458 -0.647625094 0.3524471733
## [249,] -1.3878602134 0.1146013481 -0.164370679 1.656090276 -0.3786438121
## [250,] 0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,] 0.5619597323 0.8961292302 -1.334701366 0.379131211 0.2574922605
## [252,] -1.9119232499 0.6272419580 -0.040167086 0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646 0.036601334 -0.492122827 1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474 0.166851359 -0.9379488813
## [255,] -0.3317993324 1.3861884739 0.366675439 -0.608606841 0.8330237465
## [256,] -0.1633623299 0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620 0.475449978 -0.2479260376
## [258,] 0.6025818559 -0.2811734954 -0.100457057 1.230327282 -0.5999538620
## [259,] 0.4170038534 1.6903016657 -0.874392374 0.326717780 0.5784111216
## [260,] 0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,] 0.1823409035 -1.1936153031 0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971 0.538373097 0.3577129850
## [263,] 1.4670339885 0.0560863487 1.649570038 0.463640188 -0.2575170414
## [264,] -1.2367743349 0.6690005850 0.825026937 0.357533884 0.3547903089
## [265,] 1.1603304648 0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879 0.957953335 0.2606999512
## [267,] 0.8889099300 -0.7066213845 -0.312820562 0.509747636 -0.7811957618
## [268,] -0.5705395526 0.5542518386 -0.472892785 0.313815624 0.5342072708
## [269,] -0.8512332042 -0.4827810745 1.036359939 0.228757735 -1.1577294509
## [270,] -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## [271,] 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## [273,] 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## [275,] -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## [276,] -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## [277,] -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## [278,] 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,] 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## [281,] -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## [282,] 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## [283,] 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## [284,] 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## [285,] 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## [286,] -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## [287,] 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,] 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## [289,] 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## [290,] -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## [291,] 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## [292,] -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## [293,] 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## [295,] 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## [296,] -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## [297,] 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## [298,] -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## [299,] 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## [300,] 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## [301,] -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## [302,] 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## [303,] 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## [306,] -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## [307,] 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## [308,] 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## [309,] 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## [1,] 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## [2,] 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## [3,] -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## [4,] -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## [5,] -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## [6,] 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## [7,] -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## [8,] 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## [9,] 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## [10,] 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## [11,] -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## [12,] 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## [13,] 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## [14,] 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## [15,] -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## [16,] 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## [18,] -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## [19,] -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## [20,] 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## [21,] 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## [22,] 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## [23,] 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## [24,] 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
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## [152,] 2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## [153,] 0.128639109 1.2161735687 0.908866917 -0.771517783 2.0159239490
## [154,] -1.533056562 -0.7886853127 -1.578448855 -1.027067669 -0.1558162169
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## [159,] 1.005679461 0.1691497143 0.301254883 1.396244152 0.8544999510
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## [162,] 1.322369895 1.3216155305 -0.328367399 -2.185022759 -0.0006690793
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## [177,] -0.909995025 1.4121049162 -1.210938149 -0.051017509 -0.0331009714
## [178,] 0.239525689 -0.6413809846 0.822266920 -0.555354028 0.2051302279
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## [228,] 1.026434521 0.1900517074 0.077777001 -0.454886610 -0.6582377293
## [229,] -1.572773111 -0.0312910426 -0.288500239 0.789657126 0.2507442514
## [230,] 0.036653223 -1.0775967170 0.277635073 1.607073041 -1.6704573397
## [231,] -0.760711421 0.5801334609 -0.853926932 -1.158985637 -0.8636755088
## [232,] 0.224797306 -0.8638491677 0.369310689 -0.806783880 1.2564088524
## [233,] -0.256109481 0.0813377143 0.160075683 -0.944625884 -0.4426724802
## [234,] -0.500478173 1.1402854283 0.940682998 1.603648258 -0.5339839208
## [235,] 0.420557609 1.1757651232 1.405814095 -0.660944846 -0.4584058641
## [236,] 1.601474335 0.0329770609 -0.786863332 0.850110349 0.5049464856
## [237,] -0.245442814 0.5299043586 0.123567074 -0.198453838 0.2846141257
## [238,] -1.677910380 0.9370002172 0.587961195 -0.028877664 -0.3326711026
## [239,] -0.615963168 0.4614410046 -1.373119458 -0.462593734 0.5385699125
## [240,] 0.346190183 -0.1741353115 -1.640682285 0.219620922 -0.4347494070
## [241,] -0.237700953 -1.8269571358 -1.733722502 -0.868267167 0.0739759153
## [242,] 0.189743967 -0.4365589058 -0.484810381 -0.440615878 0.5517758465
## [243,] -0.157734030 1.3944431466 -1.315420940 -1.163315747 -1.0278137201
## [244,] 1.482778302 -1.2292871843 0.735433828 -0.310230712 0.2165680484
## [245,] 0.458353115 1.2794759823 -1.481894590 0.305867734 1.0478414078
## [246,] -0.561798075 1.1599444136 -0.106549811 0.174440364 -0.5614477491
## [247,] -0.904030686 0.1899898851 0.077693633 0.746239059 0.9884091324
## [248,] 0.367306846 0.0797105468 0.421658844 -0.727251810 0.5237866907
## [249,] -0.771447964 0.3220145131 0.421694621 -1.015059403 -0.5611796464
## [250,] 0.891226655 1.8559091541 1.012247198 0.055194895 -0.9096856467
## [251,] 1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## [252,] -0.460426027 -0.7028922394 -1.480131889 -0.915330523 0.4818986921
## [253,] 0.383069666 0.0729546428 0.084302734 0.102023258 -0.1799652501
## [254,] -0.073701024 -0.5385788237 -0.284734897 -0.129813506 0.0242731252
## [255,] -0.316718368 1.3263872034 0.646147689 -0.380331569 -0.1411549227
## [256,] -0.020055754 -1.7066672359 1.308291456 1.314337165 -0.4218148172
## [257,] 0.099230582 0.0633414172 -0.089809685 -0.030062396 0.1705910065
## [258,] -0.814719325 0.3554712920 -0.482169057 0.167179178 -0.3464488494
## [259,] 0.827465657 -0.2784515308 0.408041681 0.443426503 0.6190726633
## [260,] 1.969911006 0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,] 0.120692741 1.5520772439 1.851214993 -0.252163607 1.6108503758
## [262,] 0.382435126 -0.0915046435 0.031776181 -0.399960814 0.6689254912
## [263,] -1.094660807 0.5313274642 -0.723942851 0.793217363 -0.4923627949
## [264,] 0.077558875 1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738 0.358157169 -0.161823863 0.5066678723
## [266,] 1.553818534 -0.4152766906 -0.754771835 0.100342799 -0.0263940820
## [267,] 0.786240415 0.5920760463 -0.296554785 0.146965215 0.8331283743
## [268,] -0.077097448 -0.1064969348 0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983 1.449425933 -0.110453136 -0.6621996038
## [270,] 0.040436218 0.8904793243 1.394424602 0.565017503 -0.5631495248
## [271,] 0.271097474 -0.1892803429 -0.938504400 0.190741482 0.2747592430
## [272,] 0.074050682 0.1269508821 -0.024944975 -0.003253330 0.1234850640
## [273,] -0.931853006 1.0078033725 0.209204840 0.739747383 -0.8785993809
## [274,] 0.836197278 0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414 0.1361235206
## [276,] -0.983023515 -0.1041939949 1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274 1.399310331 -0.619467237 0.3217333923
## [278,] 0.235167642 0.0761654172 -0.868124389 -0.030755816 0.1837052038
## [279,] 0.259645931 -0.7659212831 -0.171331327 -0.771443767 0.2503776820
## [280,] 0.386626612 0.0020122656 -1.394599751 0.535355543 -0.6125133511
## [281,] 0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,] 0.482401592 0.8485498995 -0.439878351 0.187371367 -0.9810781952
## [283,] 0.133037414 0.6534827324 -1.212225499 0.499259150 -0.6413672907
## [284,] 0.406502194 0.7165172399 0.480778116 0.925558289 0.1639291407
## [285,] -0.857974639 -0.6741941727 0.840754566 -0.600815722 0.2219338890
## [286,] 0.038978935 -0.7220043659 0.586611893 0.752720450 -0.5492553667
## [287,] 0.400500823 -0.3586637134 -0.511835579 -0.069931664 0.3513372646
## [288,] 0.822793804 -1.1842067114 -0.215174410 -0.208041555 0.5787408975
## [289,] 0.367378840 0.0070424388 -1.070586440 0.564778180 -0.6732674459
## [290,] 0.707731574 0.3200376804 -0.202871587 0.031149299 -0.5331046573
## [291,] -0.081437579 0.6813613159 0.423020726 0.339802365 -0.2840377311
## [292,] -0.448238235 0.5883060329 0.080163844 -0.336205536 -0.5854681151
## [293,] 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
## [294,] 0.262999653 2.5161366718 0.184353081 1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138 0.625874697 1.2319341578
## [297,] 0.424298678 -0.1658003787 0.354749610 -0.877756151 0.6822191559
## [298,] -0.583145614 -0.3361529386 0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## [300,] 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,] 0.737361526 0.1736037657 -0.361233504 0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997 0.408186660 0.192943852 -0.2835720653
## [304,] -0.061479981 0.4313114021 0.099934079 -0.890448988 0.4808252877
## [305,] 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
## [306,] 0.087368328 -0.0350587299 -0.772962725 -0.292136488 0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## [308,] 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## [309,] 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## [1,] -0.204699168 0.399778790
## [2,] 0.045288943 0.292915024
## [3,] -0.271595154 -0.814045516
## [4,] -0.371673537 1.078203419
## [5,] 0.734034423 0.516096799
## [6,] 0.370839736 0.464690533
## [7,] -0.322143489 0.050306784
## [8,] 0.531051672 0.194644777
## [9,] -1.124665269 -0.473960208
## [10,] 0.076492553 0.033336741
## [11,] -0.534141622 -0.128982341
## [12,] 0.084037407 -0.456830857
## [13,] 0.189629446 0.456895464
## [14,] -0.016716439 -0.021511422
## [15,] 0.006422442 -0.329564249
## [16,] -0.225723824 -0.788232416
## [17,] 0.487690414 -0.355745563
## [18,] -0.216253994 0.281111017
## [19,] -0.357368372 -0.574817902
## [20,] -0.121585264 0.153361961
## [21,] -0.325279346 0.341539699
## [22,] -0.249217026 -0.517074387
## [23,] -0.474336582 0.001382573
## [24,] 0.020601136 -0.029383874
## [25,] -0.421748563 -0.176386698
## [26,] -0.375057468 0.459319241
## [27,] 0.157050749 1.283191589
## [28,] 0.172160415 -1.177121386
## [29,] 0.840632915 0.308201578
## [30,] 0.546906491 0.990041317
## [31,] 1.833637726 0.602301402
## [32,] 0.899009190 -0.685671003
## [33,] 0.778795299 0.192681525
## [34,] 0.282663097 0.192190653
## [35,] -0.281726780 -0.102251797
## [36,] 0.404702630 0.315448071
## [37,] 0.252701007 -0.080408534
## [38,] 0.835870432 -0.173405499
## [39,] 0.794453324 -0.901139864
## [40,] -0.664108490 -0.302257112
## [41,] -0.699334673 -0.772619337
## [42,] 0.302214498 0.526431365
## [43,] 0.215644055 0.008363015
## [44,] 1.218170500 -0.374050417
## [45,] -0.107189826 1.558186080
## [46,] -0.014697978 -0.110994738
## [47,] -0.314501834 1.085094010
## [48,] -0.453323188 1.568209576
## [49,] 0.371135730 -0.880906339
## [50,] 0.038378647 -1.504845090
## [51,] -0.190277899 -0.215343711
## [52,] 0.571180847 -0.485102183
## [53,] -0.795216391 0.307609636
## [54,] 0.101171607 -0.457206584
## [55,] -0.836682394 1.227393045
## [56,] -0.761838666 0.044936466
## [57,] -0.093377912 0.519556971
## [58,] -0.085545972 0.334201010
## [59,] 0.820792154 0.214839663
## [60,] 0.108966172 -0.162975362
## [61,] -0.542958636 1.037635542
## [62,] -1.090814185 -0.173869707
## [63,] 0.397950756 0.601928262
## [64,] -0.286457614 -0.316048608
## [65,] 1.423427877 0.100505316
## [66,] -1.311470262 -0.340525215
## [67,] -0.360979053 0.384060109
## [68,] 0.046545960 0.364930671
## [69,] 0.851869088 0.039331283
## [70,] 0.125575693 0.027204718
## [71,] 0.339668208 0.511883358
## [72,] 0.135095885 -0.227962988
## [73,] -0.161028009 -0.359990351
## [74,] -0.151488592 0.364242693
## [75,] 0.032547772 -0.019961277
## [76,] -0.125258951 -0.040086038
## [77,] -0.314385878 -0.543428311
## [78,] -0.335717440 0.228175597
## [79,] 0.400994735 -0.072763914
## [80,] -0.528254127 0.151448992
## [81,] 0.139513375 0.283297565
## [82,] -0.005952746 0.259756203
## [83,] 0.220449326 0.205910512
## [84,] 0.821389639 -0.280463409
## [85,] -0.616768168 -0.143967535
## [86,] 0.587250538 0.095098054
## [87,] -0.057818756 -0.333248457
## [88,] -0.618241629 0.030801222
## [89,] 0.262114853 0.284029297
## [90,] -0.441595058 0.570186068
## [91,] 0.546853402 0.247395413
## [92,] -0.954452414 -0.237225566
## [93,] -0.690367526 0.648356547
## [94,] 1.196418062 -0.755162981
## [95,] -1.025634831 0.626103061
## [96,] -0.491732734 -0.231372581
## [97,] 0.162249355 0.180426095
## [98,] 0.601243917 -0.104024116
## [99,] -1.217306954 -0.042251874
## [100,] 0.210795257 -0.266528766
## [101,] 0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145 0.061331010
## [104,] 0.225753874 0.024185581
## [105,] -0.423907862 0.044826848
## [106,] -0.049813183 0.066391359
## [107,] 0.144666199 0.249381777
## [108,] 0.288291683 0.147150980
## [109,] 0.683932546 -0.766405649
## [110,] -0.165238363 0.413606088
## [111,] -0.311500803 0.275308649
## [112,] 0.470357058 0.841243335
## [113,] 0.222169322 -1.078565979
## [114,] -0.168079224 0.872922772
## [115,] 0.877633521 1.155793976
## [116,] 0.248481964 0.515447773
## [117,] -0.215599949 0.058770936
## [118,] 0.514993586 0.210590031
## [119,] -0.226150793 -0.086942561
## [120,] 0.289380434 0.313280968
## [121,] 0.215127207 -0.235851294
## [122,] 0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228 0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,] 0.075685920 0.058279950
## [129,] -0.639909303 0.323712286
## [130,] 0.029766279 0.032157735
## [131,] 0.251431807 0.393080370
## [132,] 0.099890861 -0.888438144
## [133,] 0.278208194 0.028194637
## [134,] -0.035768643 0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,] 0.000772863 0.151658109
## [138,] 0.209223668 -1.243826974
## [139,] 0.869070173 0.233877079
## [140,] 0.805399365 0.872283165
## [141,] 0.341425105 0.022592252
## [142,] -0.684397168 -0.936264140
## [143,] 0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,] 0.676296036 -0.021386986
## [146,] 0.152334617 -0.236617040
## [147,] 0.100548266 0.546407053
## [148,] -0.614292886 0.646342147
## [149,] 0.157997524 0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,] 0.284353292 0.503158969
## [153,] 0.173424869 0.019842343
## [154,] 0.044405912 -0.388242074
## [155,] 0.824834606 0.325438074
## [156,] 0.121962865 -0.861216712
## [157,] -0.442513188 0.702610115
## [158,] 0.793495320 0.334082201
## [159,] 0.447669504 -1.216843843
## [160,] 0.090886418 -1.371108370
## [161,] -0.438017503 0.002962693
## [162,] 0.541409695 -0.450589729
## [163,] -0.820401346 0.677621810
## [164,] 0.226252313 -0.216161914
## [165,] -0.677481397 1.415588471
## [166,] -0.583691233 0.119191040
## [167,] 0.293109180 0.174793193
## [168,] -0.203669862 0.239594626
## [169,] 0.743351273 0.219123542
## [170,] 0.130802257 -0.400058587
## [171,] -0.410579567 0.611738612
## [172,] -1.026212619 -0.272878294
## [173,] 0.242101208 0.488238862
## [174,] -0.288948646 -0.279987488
## [175,] 1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098 0.421068268
## [178,] 0.047903515 0.346408715
## [179,] 0.290577969 0.257721538
## [180,] 0.058594121 -0.016260362
## [181,] 0.351179366 0.395519794
## [182,] 0.067019098 0.018984832
## [183,] 0.069867765 -0.454941763
## [184,] 0.068081891 0.334040887
## [185,] -0.180412417 0.376233283
## [186,] -0.039127144 0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623 0.415674312
## [189,] 0.164826381 -0.745791996
## [190,] 0.055938829 -0.226902271
## [191,] -1.130935409 0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579 0.067538846
## [196,] 0.685196206 0.204171257
## [197,] 0.169355098 -0.549958598
## [198,] -0.769993878 0.122808536
## [199,] 0.128325234 0.614367708
## [200,] -0.115885447 0.264880595
## [201,] 0.569809145 0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464 0.852052206
## [204,] 1.060227957 -0.534824136
## [205,] -0.614394865 0.846168128
## [206,] -0.773683331 0.063697140
## [207,] 0.510641502 0.044842721
## [208,] 0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654 0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,] 0.179998006 -0.184224234
## [214,] 0.259444768 0.009943970
## [215,] -0.780618138 0.139516314
## [216,] -0.198320989 0.234820841
## [217,] 0.268641865 0.234126153
## [218,] 0.453731649 -0.077289733
## [219,] 1.088579218 -0.729502626
## [220,] -0.676442863 0.168806418
## [221,] 0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,] 0.332638512 -0.293672149
## [224,] 0.795452124 -0.679781217
## [225,] -0.988260241 0.662611902
## [226,] 0.110787399 -0.291810588
## [227,] -0.252893278 0.923464117
## [228,] -0.433616613 0.144755671
## [229,] 0.066773967 0.275017663
## [230,] 0.063241523 -0.101200129
## [231,] 1.179012497 0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088 0.926318797
## [234,] -0.681058673 -0.744278153
## [235,] 0.786713435 0.356755296
## [236,] -0.374744887 -0.315348333
## [237,] 1.269945960 0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720 0.388446323
## [240,] -0.117226699 -0.428558305
## [241,] 0.955826543 -0.268608022
## [242,] -0.232986784 0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,] 0.040368748 0.267750892
## [246,] 1.404264474 -1.478292614
## [247,] 0.978839680 0.483021714
## [248,] 0.603511293 1.157426119
## [249,] 0.692486224 0.040663628
## [250,] -0.722358199 -0.980492359
## [251,] 0.905558470 0.015177064
## [252,] -0.818092266 -0.133033980
## [253,] 0.321527445 -0.257408901
## [254,] -0.070998352 0.016638914
## [255,] 0.637360258 0.497985009
## [256,] -0.183950774 0.629102932
## [257,] 0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,] 0.473512663 0.278870895
## [261,] 0.279643315 -0.373044027
## [262,] 1.231233143 -0.616917441
## [263,] 1.196629303 0.206480172
## [264,] 0.154833871 0.622433628
## [265,] -0.106378218 0.206223917
## [266,] 0.516903811 0.396282048
## [267,] -1.619758037 -0.272082445
## [268,] 0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,] 0.117172450 -0.841650045
## [271,] 0.058390380 0.788983893
## [272,] 0.062226434 -0.005549539
## [273,] 0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,] 0.155305470 -0.417142635
## [276,] 0.258037515 0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091 0.546602298
## [279,] 0.087872999 0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565 0.404085944
## [282,] 0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106 0.170677295
## [285,] -0.054769022 0.159784347
## [286,] -0.357835410 0.115076387
## [287,] -0.335197519 0.362168104
## [288,] 0.068117172 0.532982330
## [289,] -0.109459288 -0.700975579
## [290,] 0.057996353 0.237331002
## [291,] 0.442745185 -0.109642684
## [292,] -0.638324403 0.131842402
## [293,] -0.586836031 -0.339105240
## [294,] 0.622801658 -0.405256743
## [295,] 0.146444590 -1.191554915
## [296,] 0.643560584 0.500112321
## [297,] 0.473122824 1.188323428
## [298,] 0.244203227 0.124670211
## [299,] -0.932773979 -0.723538859
## [300,] 0.720091571 0.108483530
## [301,] -0.501085666 -0.447556210
## [302,] 0.718340959 -0.098268391
## [303,] 0.109617474 -0.207952469
## [304,] 0.030515055 0.610897882
## [305,] -0.400852865 0.425130764
## [306,] -0.037178820 0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,] 0.737576367 0.096973111
plot(cancer_pca)
#get the original value of the data based on PCA
center <- cancer_pca$center
scale <- cancer_pca$scale
new_cancer <- as.matrix(cancer[,-1])
new_cancer
## GENDER AGE SMOKING YELLOW_FINGERS ANXIETY PEER_PRESSURE CHRONIC_DISEASE
## [1,] 0 69 1 1 1 0 0
## [2,] 0 74 0 0 0 0 1
## [3,] 1 59 1 0 0 1 0
## [4,] 0 63 0 1 1 0 0
## [5,] 1 63 1 1 0 0 0
## [6,] 1 75 1 1 0 0 1
## [7,] 0 52 0 0 0 0 0
## [8,] 1 51 0 1 1 1 0
## [9,] 1 68 0 0 1 0 0
## [10,] 0 53 0 1 1 1 1
## [11,] 1 61 0 1 1 1 1
## [12,] 0 72 1 0 0 0 1
## [13,] 1 60 0 0 0 0 0
## [14,] 0 58 0 0 0 0 0
## [15,] 0 69 0 0 0 0 0
## [16,] 1 48 1 1 1 1 1
## [17,] 0 75 0 0 0 0 1
## [18,] 0 57 0 1 1 1 1
## [19,] 1 68 0 1 1 1 1
## [20,] 1 61 1 0 0 0 1
## [21,] 1 44 0 1 1 1 1
## [22,] 1 64 1 1 1 1 0
## [23,] 1 21 0 0 0 0 1
## [24,] 0 60 0 0 0 0 0
## [25,] 0 72 0 1 1 1 1
## [26,] 0 65 1 1 1 0 0
## [27,] 1 61 0 1 1 0 0
## [28,] 0 69 1 0 0 1 0
## [29,] 1 53 0 1 1 0 1
## [30,] 0 55 1 1 0 0 0
## [31,] 1 57 0 1 0 0 0
## [32,] 0 62 0 0 1 0 0
## [33,] 0 56 0 1 1 0 0
## [34,] 1 67 0 1 1 0 1
## [35,] 0 59 1 1 1 0 0
## [36,] 1 59 0 1 1 0 1
## [37,] 0 60 1 1 0 0 1
## [38,] 1 56 1 0 0 0 1
## [39,] 0 56 0 0 0 0 1
## [40,] 0 60 0 0 0 0 1
## [41,] 0 68 0 0 1 0 0
## [42,] 0 63 1 0 0 1 0
## [43,] 1 77 1 1 1 1 1
## [44,] 0 52 0 0 0 1 0
## [45,] 1 70 0 1 0 1 1
## [46,] 0 72 0 1 1 1 1
## [47,] 0 62 0 1 0 0 1
## [48,] 1 64 0 1 0 1 0
## [49,] 1 70 1 0 1 1 1
## [50,] 0 60 1 0 1 1 1
## [51,] 1 56 1 0 0 1 1
## [52,] 0 63 0 1 1 0 1
## [53,] 1 54 0 0 0 1 0
## [54,] 0 49 0 0 0 1 1
## [55,] 1 57 1 1 0 1 1
## [56,] 0 52 1 1 1 0 1
## [57,] 1 63 1 1 0 1 0
## [58,] 0 73 1 0 0 0 1
## [59,] 0 47 1 1 0 1 1
## [60,] 0 69 0 1 1 1 0
## [61,] 0 70 1 1 0 1 1
## [62,] 1 60 1 1 1 0 0
## [63,] 0 70 1 1 0 1 0
## [64,] 1 68 1 0 1 0 1
## [65,] 0 74 1 1 0 1 0
## [66,] 1 71 0 1 1 1 1
## [67,] 1 56 1 1 0 0 1
## [68,] 0 66 0 0 0 0 0
## [69,] 1 76 0 1 1 1 0
## [70,] 1 78 0 1 1 1 0
## [71,] 0 68 0 1 1 1 0
## [72,] 1 66 0 1 1 1 0
## [73,] 0 67 1 0 0 0 1
## [74,] 1 60 0 0 0 0 1
## [75,] 0 61 0 0 0 0 0
## [76,] 0 58 0 0 0 0 0
## [77,] 1 76 1 1 1 1 1
## [78,] 0 56 0 0 0 0 0
## [79,] 0 67 0 1 1 1 1
## [80,] 1 73 0 1 1 1 0
## [81,] 1 58 1 0 0 0 0
## [82,] 1 54 0 1 1 1 1
## [83,] 1 62 0 1 1 1 1
## [84,] 1 81 1 0 0 1 1
## [85,] 0 56 1 0 0 0 1
## [86,] 0 60 1 1 1 0 0
## [87,] 0 66 1 1 1 0 1
## [88,] 0 62 1 1 1 0 0
## [89,] 1 62 0 1 1 0 1
## [90,] 1 55 0 0 0 1 1
## [91,] 1 62 1 0 0 1 0
## [92,] 1 71 1 0 0 0 1
## [93,] 0 52 0 0 0 0 1
## [94,] 1 59 1 1 1 1 1
## [95,] 0 48 0 0 0 0 1
## [96,] 0 60 1 1 1 1 0
## [97,] 1 61 0 1 1 0 0
## [98,] 0 59 0 0 0 1 0
## [99,] 0 64 1 1 1 1 0
## [100,] 0 56 0 0 0 0 0
## [101,] 0 58 0 0 0 0 0
## [102,] 1 81 1 1 1 1 1
## [103,] 0 64 0 0 0 0 0
## [104,] 0 62 0 1 1 1 1
## [105,] 1 72 0 1 1 1 0
## [106,] 1 60 1 0 0 0 1
## [107,] 1 61 0 1 1 1 1
## [108,] 1 60 0 1 1 1 1
## [109,] 1 49 1 0 0 1 1
## [110,] 0 53 1 0 0 0 1
## [111,] 0 58 1 1 1 0 0
## [112,] 0 61 0 1 1 0 0
## [113,] 1 68 1 0 0 1 0
## [114,] 0 60 0 1 1 0 0
## [115,] 1 72 1 1 0 0 0
## [116,] 1 72 1 1 0 0 1
## [117,] 0 57 0 0 0 0 0
## [118,] 1 51 0 1 1 1 0
## [119,] 1 54 0 1 1 1 0
## [120,] 1 56 1 1 1 1 0
## [121,] 0 77 0 1 1 1 0
## [122,] 0 64 1 0 0 0 1
## [123,] 0 57 0 0 1 0 1
## [124,] 1 66 0 1 1 0 1
## [125,] 0 70 0 0 0 0 0
## [126,] 1 53 1 1 1 1 1
## [127,] 0 51 0 0 0 0 0
## [128,] 0 58 0 1 1 1 1
## [129,] 1 58 0 1 1 1 0
## [130,] 1 63 1 0 0 0 1
## [131,] 1 51 0 1 1 1 0
## [132,] 1 61 1 1 1 1 0
## [133,] 1 61 0 0 0 0 1
## [134,] 0 76 0 0 0 0 0
## [135,] 0 71 0 1 1 0 1
## [136,] 0 69 1 0 1 0 0
## [137,] 1 56 0 1 1 0 0
## [138,] 0 67 1 0 0 1 0
## [139,] 1 54 0 1 1 0 1
## [140,] 0 63 1 1 0 0 0
## [141,] 1 47 0 1 0 1 1
## [142,] 0 62 0 0 1 0 0
## [143,] 0 65 0 1 1 1 0
## [144,] 1 63 0 1 1 1 1
## [145,] 0 64 1 1 1 1 0
## [146,] 1 65 0 1 1 1 0
## [147,] 0 51 1 1 0 0 1
## [148,] 1 56 1 0 0 1 1
## [149,] 0 70 0 0 0 0 0
## [150,] 0 58 0 0 0 0 0
## [151,] 0 67 0 0 1 0 0
## [152,] 0 62 1 0 0 1 0
## [153,] 1 74 1 1 1 1 1
## [154,] 0 69 0 0 0 1 0
## [155,] 1 64 0 1 0 1 1
## [156,] 0 75 0 1 1 1 1
## [157,] 0 47 0 1 0 0 1
## [158,] 1 57 0 1 0 1 0
## [159,] 1 56 1 0 1 1 1
## [160,] 0 68 1 0 1 1 1
## [161,] 1 55 1 0 0 1 1
## [162,] 0 62 0 1 1 0 1
## [163,] 1 73 0 0 0 1 0
## [164,] 0 68 0 0 0 1 1
## [165,] 1 75 1 1 0 1 1
## [166,] 0 63 1 1 1 0 1
## [167,] 1 61 1 1 0 1 0
## [168,] 0 62 1 0 0 0 1
## [169,] 0 44 1 1 0 1 1
## [170,] 0 56 0 1 1 1 0
## [171,] 0 54 1 1 0 1 1
## [172,] 1 57 1 1 1 0 0
## [173,] 0 56 1 1 0 1 0
## [174,] 1 69 1 0 1 0 1
## [175,] 0 72 1 1 0 1 0
## [176,] 1 59 0 1 1 1 1
## [177,] 1 70 1 1 0 0 1
## [178,] 0 64 0 0 0 0 0
## [179,] 1 61 0 1 1 1 0
## [180,] 1 72 0 1 1 1 0
## [181,] 0 63 0 1 1 1 0
## [182,] 1 74 0 1 1 1 0
## [183,] 0 71 1 0 0 0 1
## [184,] 1 71 0 0 0 0 1
## [185,] 0 72 0 0 0 0 0
## [186,] 0 77 0 0 0 0 0
## [187,] 1 72 1 1 1 1 1
## [188,] 0 55 0 0 0 0 0
## [189,] 0 65 0 1 1 1 1
## [190,] 1 67 0 1 1 1 0
## [191,] 1 69 1 0 0 0 1
## [192,] 1 55 0 1 1 1 1
## [193,] 1 51 0 1 1 1 1
## [194,] 1 64 1 0 0 1 1
## [195,] 0 63 1 0 0 0 1
## [196,] 0 69 1 1 1 0 0
## [197,] 0 64 1 1 1 0 1
## [198,] 0 59 1 1 1 0 0
## [199,] 1 73 0 1 1 0 1
## [200,] 1 55 0 0 0 1 1
## [201,] 1 63 1 0 0 1 0
## [202,] 1 60 1 0 0 0 1
## [203,] 0 74 0 0 0 0 1
## [204,] 1 65 1 1 1 1 1
## [205,] 0 79 0 0 0 0 1
## [206,] 0 62 1 1 1 1 0
## [207,] 1 71 0 1 1 0 0
## [208,] 0 63 0 0 0 1 0
## [209,] 0 67 1 1 1 1 0
## [210,] 0 55 0 0 0 0 0
## [211,] 0 54 0 0 0 0 0
## [212,] 1 77 1 1 1 1 1
## [213,] 0 58 0 0 0 0 0
## [214,] 0 64 0 1 1 1 1
## [215,] 1 61 0 1 1 1 0
## [216,] 1 62 1 0 0 0 1
## [217,] 1 67 0 1 1 1 1
## [218,] 1 56 0 1 1 1 1
## [219,] 1 70 1 0 0 1 1
## [220,] 0 70 1 0 0 0 1
## [221,] 1 57 1 0 1 1 1
## [222,] 0 61 1 0 1 1 1
## [223,] 1 77 1 0 0 1 1
## [224,] 0 63 0 1 1 0 1
## [225,] 1 62 0 0 0 1 0
## [226,] 0 59 0 0 0 1 1
## [227,] 1 70 1 1 0 1 1
## [228,] 0 71 1 1 1 0 1
## [229,] 1 56 1 1 0 1 0
## [230,] 0 57 1 0 0 0 1
## [231,] 0 78 1 1 0 1 1
## [232,] 0 64 0 1 1 1 0
## [233,] 0 62 1 1 0 1 1
## [234,] 1 49 1 1 1 0 0
## [235,] 0 77 1 1 0 1 0
## [236,] 1 64 1 0 1 0 1
## [237,] 0 63 1 1 0 1 0
## [238,] 1 54 0 1 1 1 1
## [239,] 1 38 1 1 0 0 1
## [240,] 1 75 1 1 1 1 0
## [241,] 1 70 0 0 0 1 1
## [242,] 0 59 0 0 0 0 0
## [243,] 0 77 0 1 1 0 1
## [244,] 0 61 1 0 1 0 1
## [245,] 1 64 0 1 1 0 0
## [246,] 0 59 1 0 0 1 0
## [247,] 1 71 0 1 1 0 1
## [248,] 0 67 1 1 0 0 0
## [249,] 1 64 0 1 0 1 1
## [250,] 0 68 0 0 1 0 0
## [251,] 0 69 0 1 1 1 0
## [252,] 1 64 0 1 1 1 1
## [253,] 0 59 1 1 1 1 1
## [254,] 1 67 0 1 1 1 0
## [255,] 0 74 1 1 0 0 1
## [256,] 1 77 1 0 0 1 1
## [257,] 0 60 0 0 0 0 0
## [258,] 0 64 0 0 0 0 0
## [259,] 0 70 0 0 1 0 0
## [260,] 0 58 1 0 0 1 0
## [261,] 1 59 1 1 1 1 1
## [262,] 0 39 0 0 0 1 0
## [263,] 1 67 1 1 0 0 0
## [264,] 1 71 1 1 0 0 1
## [265,] 0 70 0 0 0 0 0
## [266,] 1 60 0 1 1 1 0
## [267,] 1 55 0 0 1 0 0
## [268,] 0 60 0 1 1 1 1
## [269,] 1 55 0 1 1 1 1
## [270,] 0 55 1 0 0 0 1
## [271,] 1 70 0 0 0 0 0
## [272,] 0 63 0 0 0 0 0
## [273,] 0 64 0 0 0 0 0
## [274,] 1 59 1 1 1 1 1
## [275,] 0 56 0 0 0 0 1
## [276,] 0 64 0 1 1 1 1
## [277,] 1 62 0 1 1 1 1
## [278,] 1 87 1 0 0 0 1
## [279,] 1 77 0 1 1 1 1
## [280,] 1 59 1 1 1 1 0
## [281,] 1 59 0 0 0 0 1
## [282,] 0 55 0 0 0 0 0
## [283,] 0 46 1 1 1 0 0
## [284,] 0 60 1 1 1 0 0
## [285,] 0 58 0 1 1 1 1
## [286,] 1 58 0 1 1 1 0
## [287,] 1 63 1 0 0 0 1
## [288,] 1 51 0 1 1 1 0
## [289,] 1 61 1 1 1 1 0
## [290,] 1 61 0 0 0 0 1
## [291,] 0 76 0 0 0 0 0
## [292,] 0 71 0 1 1 0 1
## [293,] 0 69 1 0 1 0 0
## [294,] 1 56 0 1 1 0 0
## [295,] 0 67 1 0 0 1 0
## [296,] 1 54 0 1 1 0 1
## [297,] 0 63 1 1 0 0 0
## [298,] 1 47 0 1 0 1 1
## [299,] 0 62 0 0 1 0 0
## [300,] 0 65 0 1 1 1 0
## [301,] 1 63 0 1 1 1 1
## [302,] 0 64 1 1 1 1 0
## [303,] 1 65 0 1 1 1 0
## [304,] 0 51 1 1 0 0 1
## [305,] 1 56 1 0 0 1 1
## [306,] 0 70 0 0 0 0 0
## [307,] 0 58 0 0 0 0 0
## [308,] 0 67 0 0 1 0 0
## [309,] 0 62 1 0 0 1 0
## FATIGUE ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING SHORTNESS_OF_BREATH
## [1,] 1 0 1 1 1 1
## [2,] 1 1 0 0 0 1
## [3,] 1 0 1 0 1 1
## [4,] 0 0 0 1 0 0
## [5,] 0 0 1 0 1 1
## [6,] 1 1 1 0 1 1
## [7,] 1 0 1 1 1 1
## [8,] 1 1 0 0 0 1
## [9,] 1 0 0 0 0 0
## [10,] 0 1 0 1 0 0
## [11,] 1 0 1 0 1 1
## [12,] 1 1 1 1 1 1
## [13,] 1 0 0 0 0 1
## [14,] 1 1 1 1 1 1
## [15,] 0 1 1 1 1 0
## [16,] 1 1 1 0 1 1
## [17,] 0 1 1 1 1 1
## [18,] 0 0 0 1 0 0
## [19,] 1 0 0 0 1 1
## [20,] 1 0 0 0 0 1
## [21,] 1 0 0 0 0 1
## [22,] 0 1 1 0 1 0
## [23,] 1 1 0 0 0 1
## [24,] 1 1 1 1 1 1
## [25,] 0 1 1 1 1 0
## [26,] 1 0 1 1 1 1
## [27,] 1 1 0 1 0 1
## [28,] 1 0 1 0 1 1
## [29,] 0 0 1 1 0 1
## [30,] 1 0 1 1 1 1
## [31,] 0 0 0 0 0 1
## [32,] 0 1 1 1 0 1
## [33,] 0 0 0 0 0 1
## [34,] 0 0 0 0 0 1
## [35,] 0 0 0 0 0 0
## [36,] 0 0 0 0 0 1
## [37,] 0 0 1 0 1 1
## [38,] 0 0 1 0 0 1
## [39,] 0 0 1 0 0 1
## [40,] 0 1 1 1 1 0
## [41,] 1 1 0 1 1 1
## [42,] 1 1 1 1 0 0
## [43,] 1 0 1 1 0 0
## [44,] 1 1 1 1 0 1
## [45,] 0 0 0 1 1 0
## [46,] 1 0 1 1 1 1
## [47,] 0 1 0 0 1 1
## [48,] 1 0 1 1 1 0
## [49,] 1 1 1 1 0 1
## [50,] 0 0 0 1 0 0
## [51,] 1 1 1 1 0 0
## [52,] 1 1 1 0 0 1
## [53,] 1 1 1 1 1 0
## [54,] 1 1 1 1 1 1
## [55,] 1 1 0 1 1 0
## [56,] 0 1 1 1 1 0
## [57,] 1 0 0 0 1 1
## [58,] 0 1 0 1 1 1
## [59,] 1 0 1 0 0 1
## [60,] 1 1 0 1 1 1
## [61,] 1 1 1 1 1 0
## [62,] 0 0 0 0 1 0
## [63,] 1 1 1 1 1 0
## [64,] 0 1 1 1 0 0
## [65,] 1 1 1 1 1 1
## [66,] 1 0 1 0 1 0
## [67,] 1 1 1 0 1 1
## [68,] 1 0 1 1 1 1
## [69,] 1 1 0 0 0 1
## [70,] 1 0 1 0 1 1
## [71,] 0 1 0 1 0 0
## [72,] 1 0 1 0 1 1
## [73,] 1 1 1 1 1 1
## [74,] 1 0 0 0 0 1
## [75,] 1 1 1 1 1 1
## [76,] 0 1 1 1 1 0
## [77,] 1 1 1 0 1 1
## [78,] 1 1 1 1 1 1
## [79,] 0 0 0 1 0 0
## [80,] 1 0 0 0 1 1
## [81,] 1 0 0 0 0 1
## [82,] 1 0 0 0 0 1
## [83,] 0 1 1 1 0 0
## [84,] 0 1 0 1 1 1
## [85,] 1 1 0 1 1 1
## [86,] 0 0 1 1 1 1
## [87,] 0 1 0 1 1 1
## [88,] 1 0 1 0 0 0
## [89,] 0 1 0 1 0 0
## [90,] 1 1 1 1 0 0
## [91,] 0 0 1 1 0 0
## [92,] 1 1 0 0 1 1
## [93,] 1 1 1 1 0 0
## [94,] 0 1 1 1 1 1
## [95,] 1 1 0 1 1 1
## [96,] 1 0 0 0 0 0
## [97,] 0 1 0 1 1 1
## [98,] 0 0 0 1 1 1
## [99,] 1 1 0 0 1 0
## [100,] 1 1 1 1 1 1
## [101,] 0 1 1 1 1 0
## [102,] 1 1 1 0 1 1
## [103,] 1 1 1 1 1 1
## [104,] 0 0 0 1 0 0
## [105,] 1 0 0 0 1 1
## [106,] 1 0 0 0 0 1
## [107,] 1 0 0 0 0 1
## [108,] 0 1 1 1 0 0
## [109,] 0 1 0 1 1 1
## [110,] 1 1 0 1 0 1
## [111,] 1 0 1 1 1 1
## [112,] 1 1 0 1 0 1
## [113,] 1 0 1 0 1 1
## [114,] 0 0 0 1 0 0
## [115,] 1 0 1 1 1 1
## [116,] 1 1 1 0 1 1
## [117,] 1 0 1 1 1 1
## [118,] 1 1 0 0 0 1
## [119,] 1 0 1 0 1 1
## [120,] 0 1 0 1 0 0
## [121,] 1 0 1 0 1 1
## [122,] 1 1 1 1 1 1
## [123,] 1 0 0 0 0 1
## [124,] 1 1 1 1 1 1
## [125,] 0 1 0 1 1 0
## [126,] 1 1 0 0 1 1
## [127,] 1 0 1 1 1 1
## [128,] 0 0 0 1 0 0
## [129,] 1 0 0 0 1 1
## [130,] 1 0 0 0 0 1
## [131,] 1 0 0 0 0 1
## [132,] 0 1 1 0 1 0
## [133,] 1 1 0 0 0 1
## [134,] 1 1 1 1 1 1
## [135,] 0 1 1 1 1 0
## [136,] 1 0 1 1 1 1
## [137,] 1 1 0 0 0 1
## [138,] 1 0 1 0 1 1
## [139,] 0 0 1 1 0 1
## [140,] 1 0 1 1 1 1
## [141,] 1 1 1 0 1 1
## [142,] 1 0 1 1 1 1
## [143,] 1 1 0 0 0 1
## [144,] 1 1 1 0 1 1
## [145,] 0 1 0 1 0 0
## [146,] 1 0 1 0 1 1
## [147,] 1 1 1 1 1 1
## [148,] 1 0 0 1 1 1
## [149,] 1 1 1 1 1 1
## [150,] 0 1 1 1 1 0
## [151,] 1 1 0 1 1 1
## [152,] 1 1 1 1 0 0
## [153,] 1 0 1 1 0 0
## [154,] 0 0 0 0 0 0
## [155,] 0 0 0 0 0 0
## [156,] 0 0 0 0 0 0
## [157,] 0 0 0 0 0 0
## [158,] 0 0 0 0 0 0
## [159,] 1 1 1 1 0 1
## [160,] 0 0 0 1 0 0
## [161,] 1 1 1 1 0 0
## [162,] 1 1 1 0 0 1
## [163,] 1 1 1 1 1 0
## [164,] 1 1 1 1 1 1
## [165,] 1 1 0 1 1 0
## [166,] 0 1 1 1 1 0
## [167,] 1 0 0 0 1 1
## [168,] 0 1 0 1 1 1
## [169,] 1 0 1 0 0 1
## [170,] 1 1 0 1 1 1
## [171,] 1 1 1 1 1 0
## [172,] 0 0 0 0 1 0
## [173,] 1 1 1 1 1 0
## [174,] 0 1 1 1 0 0
## [175,] 1 1 1 1 1 1
## [176,] 1 0 1 0 1 0
## [177,] 1 1 1 0 1 1
## [178,] 1 0 1 1 1 1
## [179,] 1 1 0 0 0 1
## [180,] 1 0 1 0 1 1
## [181,] 0 1 0 1 0 0
## [182,] 1 0 1 0 1 1
## [183,] 1 1 1 1 1 1
## [184,] 1 0 0 0 0 1
## [185,] 1 1 1 1 1 1
## [186,] 0 1 1 1 1 0
## [187,] 1 0 0 0 0 0
## [188,] 1 0 0 0 0 0
## [189,] 0 0 0 0 0 0
## [190,] 1 0 0 0 0 0
## [191,] 1 0 0 0 0 0
## [192,] 1 0 0 0 0 0
## [193,] 0 0 0 0 0 0
## [194,] 0 0 0 0 0 0
## [195,] 1 1 0 1 1 1
## [196,] 0 0 1 1 1 1
## [197,] 0 1 0 1 1 1
## [198,] 1 0 1 0 0 0
## [199,] 0 1 0 1 0 0
## [200,] 1 1 1 1 0 0
## [201,] 0 0 1 1 0 0
## [202,] 1 1 0 0 1 1
## [203,] 1 1 1 1 0 0
## [204,] 0 1 1 1 1 1
## [205,] 1 1 0 1 1 1
## [206,] 1 0 0 0 0 0
## [207,] 0 1 0 1 1 1
## [208,] 0 0 0 0 1 1
## [209,] 1 1 0 0 1 0
## [210,] 1 1 1 1 1 1
## [211,] 0 1 1 1 1 0
## [212,] 1 1 1 0 1 1
## [213,] 1 1 1 1 1 1
## [214,] 0 0 0 1 0 0
## [215,] 1 0 0 0 1 1
## [216,] 1 0 0 0 0 1
## [217,] 1 0 0 0 0 1
## [218,] 0 1 1 1 0 0
## [219,] 0 1 0 1 1 1
## [220,] 1 1 0 1 1 1
## [221,] 1 1 1 1 0 1
## [222,] 0 0 0 1 0 0
## [223,] 1 1 1 1 0 0
## [224,] 1 1 1 0 0 1
## [225,] 1 1 1 1 1 0
## [226,] 1 1 1 1 1 1
## [227,] 1 1 0 1 1 0
## [228,] 0 1 1 1 1 0
## [229,] 1 0 0 0 1 1
## [230,] 0 1 0 1 1 1
## [231,] 1 0 1 0 0 1
## [232,] 1 1 0 1 1 1
## [233,] 1 1 1 1 1 0
## [234,] 0 0 0 0 1 0
## [235,] 1 1 1 1 1 0
## [236,] 0 1 1 1 0 0
## [237,] 1 1 1 1 1 1
## [238,] 1 0 1 0 1 0
## [239,] 1 1 1 0 1 1
## [240,] 0 1 1 0 1 0
## [241,] 0 1 0 0 0 1
## [242,] 1 1 1 1 1 1
## [243,] 0 1 1 0 0 0
## [244,] 1 0 1 1 1 1
## [245,] 1 1 0 0 0 1
## [246,] 1 0 1 0 0 1
## [247,] 0 0 1 1 0 1
## [248,] 1 0 1 1 1 1
## [249,] 1 1 1 0 1 1
## [250,] 1 0 0 0 0 0
## [251,] 1 1 0 0 0 1
## [252,] 1 1 1 0 1 1
## [253,] 0 1 0 1 0 0
## [254,] 1 0 1 0 1 1
## [255,] 1 1 1 1 1 1
## [256,] 1 0 0 1 1 1
## [257,] 1 1 1 1 1 1
## [258,] 0 1 1 1 1 0
## [259,] 1 1 0 1 1 1
## [260,] 1 1 1 1 0 0
## [261,] 1 0 1 1 0 0
## [262,] 1 1 1 1 0 1
## [263,] 0 0 1 0 1 1
## [264,] 1 1 1 0 1 1
## [265,] 1 0 1 1 1 1
## [266,] 1 1 0 0 0 1
## [267,] 1 0 0 0 0 0
## [268,] 0 1 0 1 0 0
## [269,] 1 0 1 0 1 1
## [270,] 1 1 1 1 1 1
## [271,] 1 0 0 0 0 1
## [272,] 1 1 1 1 1 1
## [273,] 0 1 1 1 1 0
## [274,] 1 1 1 0 1 1
## [275,] 0 1 1 1 1 1
## [276,] 0 0 0 1 0 0
## [277,] 1 0 0 0 1 1
## [278,] 1 0 0 0 0 1
## [279,] 1 0 0 0 0 1
## [280,] 0 1 1 0 1 0
## [281,] 1 1 0 0 0 1
## [282,] 1 1 0 0 0 1
## [283,] 0 0 0 0 0 0
## [284,] 1 0 1 1 1 1
## [285,] 0 0 0 1 0 0
## [286,] 1 0 0 0 1 1
## [287,] 1 0 0 0 0 1
## [288,] 1 0 0 0 0 1
## [289,] 0 1 1 0 1 0
## [290,] 1 1 0 0 0 1
## [291,] 1 1 1 1 1 1
## [292,] 0 1 1 1 1 0
## [293,] 1 0 1 1 1 1
## [294,] 1 1 0 0 0 1
## [295,] 1 0 1 0 1 1
## [296,] 0 0 1 1 0 1
## [297,] 1 0 1 1 1 1
## [298,] 1 1 1 0 1 1
## [299,] 1 0 1 1 1 1
## [300,] 1 1 0 0 0 1
## [301,] 1 1 1 0 1 1
## [302,] 0 1 0 1 0 0
## [303,] 1 0 1 0 1 1
## [304,] 1 1 1 1 1 1
## [305,] 1 0 0 1 1 1
## [306,] 1 1 1 1 1 1
## [307,] 0 1 1 1 1 0
## [308,] 1 1 0 1 1 1
## [309,] 1 1 1 1 0 0
## SWALLOWING_DIFFICULTY CHEST_PAIN WEIGHT HEIGHT_INCH
## [1,] 1 1 112.99250 65.78331
## [2,] 1 1 136.48730 71.51521
## [3,] 0 1 153.02690 69.39874
## [4,] 1 1 142.33540 68.21660
## [5,] 0 0 144.29710 67.78781
## [6,] 0 0 123.30240 68.69784
## [7,] 0 1 141.49470 69.80204
## [8,] 1 0 136.46230 70.01472
## [9,] 0 0 112.37230 67.90265
## [10,] 1 1 120.66720 66.78236
## [11,] 1 0 127.45160 66.48769
## [12,] 0 1 114.14300 67.62333
## [13,] 0 0 125.61070 68.30248
## [14,] 0 1 122.46180 67.11656
## [15,] 0 1 116.08660 68.27967
## [16,] 1 0 139.99750 71.09160
## [17,] 0 1 129.50230 66.46100
## [18,] 1 1 142.97330 68.64927
## [19,] 0 0 137.90250 71.23033
## [20,] 0 0 124.04490 67.13118
## [21,] 1 0 141.28070 67.83379
## [22,] 1 0 143.53920 68.87881
## [23,] 0 0 97.90191 63.48115
## [24,] 0 1 129.50270 68.42187
## [25,] 1 1 141.85010 67.62804
## [26,] 1 1 129.72440 67.20864
## [27,] 1 1 142.42350 70.84235
## [28,] 0 1 131.55020 67.49434
## [29,] 1 1 108.33240 66.53401
## [30,] 0 0 113.89220 65.44098
## [31,] 0 0 103.30160 69.52330
## [32,] 1 1 120.75360 65.81320
## [33,] 1 0 125.78860 67.81630
## [34,] 1 1 136.22250 70.59505
## [35,] 1 1 140.10150 71.80484
## [36,] 1 0 128.74870 69.20613
## [37,] 0 1 141.79940 66.80368
## [38,] 1 0 121.23190 67.65893
## [39,] 0 1 131.34780 67.80701
## [40,] 0 1 106.71150 64.04535
## [41,] 0 1 124.35980 68.57463
## [42,] 1 0 124.85910 65.18357
## [43,] 0 0 139.67110 69.65814
## [44,] 0 1 137.36960 67.96731
## [45,] 1 0 106.44990 65.98088
## [46,] 1 1 128.76390 68.67249
## [47,] 1 1 145.68370 66.88088
## [48,] 1 1 116.81900 67.69868
## [49,] 1 1 143.62150 69.82117
## [50,] 0 0 134.93250 69.08817
## [51,] 0 1 147.02190 69.91479
## [52,] 0 0 126.32850 67.33182
## [53,] 1 1 125.48390 70.26939
## [54,] 1 1 115.70840 69.10344
## [55,] 0 0 123.48920 65.38356
## [56,] 1 0 147.89260 70.18447
## [57,] 0 1 155.89870 70.40617
## [58,] 1 1 128.07420 66.54376
## [59,] 1 1 119.37010 66.36418
## [60,] 0 1 133.81480 67.53700
## [61,] 1 1 128.73250 66.50418
## [62,] 0 0 137.54530 68.99958
## [63,] 0 0 129.76040 68.30355
## [64,] 1 0 128.82400 67.01255
## [65,] 0 1 135.31650 70.80592
## [66,] 1 1 109.61130 68.21951
## [67,] 0 1 142.46840 69.05914
## [68,] 0 0 132.74900 67.73103
## [69,] 1 1 103.52750 67.21568
## [70,] 1 0 124.72990 67.36763
## [71,] 1 1 129.31370 65.27033
## [72,] 1 0 134.01750 70.84278
## [73,] 0 1 140.39690 69.92442
## [74,] 0 0 102.83510 64.28508
## [75,] 0 1 128.52140 68.24520
## [76,] 0 0 120.29910 66.35708
## [77,] 1 1 138.60360 68.36275
## [78,] 0 1 132.95740 65.47690
## [79,] 1 1 115.62330 69.71947
## [80,] 1 1 122.52400 67.72554
## [81,] 0 0 134.62540 68.63941
## [82,] 1 0 121.89860 66.78405
## [83,] 1 1 155.37670 70.05147
## [84,] 0 0 128.94180 66.27848
## [85,] 0 1 129.10130 69.20198
## [86,] 1 0 139.47330 69.13481
## [87,] 0 1 140.89010 67.36436
## [88,] 1 1 131.59160 70.09297
## [89,] 0 0 121.12320 70.17660
## [90,] 1 1 131.51270 68.22556
## [91,] 1 1 136.54790 68.12932
## [92,] 0 1 141.48960 70.24256
## [93,] 1 1 140.61040 71.48752
## [94,] 1 0 112.14130 69.20477
## [95,] 1 1 133.45700 70.06306
## [96,] 1 1 131.80010 70.55703
## [97,] 0 1 120.02850 66.28644
## [98,] 0 0 123.09720 63.42577
## [99,] 1 0 128.14320 66.76711
## [100,] 0 1 115.47590 68.88741
## [101,] 0 0 102.09270 64.87434
## [102,] 1 1 130.35300 67.09272
## [103,] 0 1 134.18420 68.34761
## [104,] 1 1 98.64133 65.61073
## [105,] 1 1 114.55990 67.75551
## [106,] 0 0 123.49170 68.02120
## [107,] 1 0 123.04800 67.66193
## [108,] 1 1 126.47720 66.31460
## [109,] 0 0 128.41700 69.43706
## [110,] 0 1 127.19410 63.83624
## [111,] 1 1 122.05620 67.72277
## [112,] 1 1 127.60640 70.05098
## [113,] 0 1 131.64230 70.18602
## [114,] 1 1 111.89550 65.94588
## [115,] 0 0 122.03900 70.00700
## [116,] 0 0 128.55470 68.61129
## [117,] 0 1 132.67920 68.80817
## [118,] 1 0 136.06320 69.76212
## [119,] 1 0 115.94030 65.45539
## [120,] 1 1 136.90410 68.82534
## [121,] 1 0 119.88040 65.80030
## [122,] 0 1 109.00550 67.21474
## [123,] 0 0 128.27050 69.42021
## [124,] 0 0 135.29130 68.94396
## [125,] 0 1 106.85580 67.94150
## [126,] 0 0 123.29390 65.62506
## [127,] 0 1 109.51430 66.49607
## [128,] 1 1 119.30870 67.92809
## [129,] 1 0 140.24020 68.89415
## [130,] 0 0 133.98410 70.24100
## [131,] 1 0 132.58070 68.26623
## [132,] 1 0 130.69880 71.23161
## [133,] 0 0 115.56370 69.09747
## [134,] 0 1 123.79410 64.39693
## [135,] 1 1 128.14270 71.09585
## [136,] 1 0 135.96460 68.21868
## [137,] 0 1 116.62730 65.91721
## [138,] 0 1 126.82410 67.43690
## [139,] 1 1 151.39130 73.90107
## [140,] 0 0 130.40220 69.98149
## [141,] 0 0 136.20680 69.51862
## [142,] 0 1 113.39890 65.18437
## [143,] 1 0 125.32870 68.00869
## [144,] 1 1 127.58460 68.33840
## [145,] 1 1 107.15640 65.18417
## [146,] 1 0 116.45880 68.26209
## [147,] 0 1 133.84020 68.56865
## [148,] 1 0 112.89010 64.49675
## [149,] 0 1 130.75680 68.71053
## [150,] 0 1 137.75710 68.89148
## [151,] 0 1 125.40360 69.54011
## [152,] 1 0 138.46590 67.39964
## [153,] 0 0 120.81840 66.47521
## [154,] 0 1 140.15390 66.01217
## [155,] 0 0 136.73970 72.44434
## [156,] 0 1 106.11390 64.12642
## [157,] 0 1 158.95620 70.98112
## [158,] 0 1 108.78680 67.50124
## [159,] 1 1 138.77580 72.01515
## [160,] 0 0 115.91360 65.31143
## [161,] 0 1 146.29220 67.07509
## [162,] 0 0 109.87650 64.39148
## [163,] 1 1 139.04990 69.37003
## [164,] 1 1 119.90010 68.37921
## [165,] 0 0 128.30690 65.31018
## [166,] 1 0 127.24280 67.13690
## [167,] 0 1 115.23060 68.39468
## [168,] 1 1 124.79750 66.29180
## [169,] 1 1 126.95110 67.18660
## [170,] 0 1 111.27110 65.99156
## [171,] 1 1 122.60890 69.43393
## [172,] 0 0 124.20840 67.97463
## [173,] 0 0 124.64530 67.76133
## [174,] 1 0 119.51690 65.27864
## [175,] 0 1 139.29830 73.83364
## [176,] 1 1 104.82650 66.81312
## [177,] 0 1 123.04240 66.89411
## [178,] 0 0 118.89230 65.73568
## [179,] 1 1 121.49390 65.98283
## [180,] 1 0 119.24880 66.58396
## [181,] 1 1 135.02390 67.11294
## [182,] 1 0 116.22800 65.87481
## [183,] 0 1 109.17310 66.78067
## [184,] 0 0 124.22370 68.73577
## [185,] 0 1 141.16450 66.22666
## [186,] 0 0 129.15010 65.95968
## [187,] 0 0 127.86930 68.58372
## [188,] 0 0 120.92440 66.59347
## [189,] 0 0 127.64660 66.96574
## [190,] 0 0 101.46930 68.08015
## [191,] 0 0 144.99270 70.19025
## [192,] 0 0 110.95230 65.52149
## [193,] 0 0 132.86250 67.45905
## [194,] 0 0 146.33850 67.40985
## [195,] 0 1 145.58940 69.66158
## [196,] 1 0 120.84310 65.79799
## [197,] 0 1 115.78130 66.10558
## [198,] 1 1 128.30190 68.23987
## [199,] 0 0 127.47180 68.02403
## [200,] 1 1 127.87610 71.39044
## [201,] 1 1 121.49970 65.73160
## [202,] 0 1 112.71480 66.43358
## [203,] 1 1 135.00200 70.01309
## [204,] 1 0 128.67890 69.48146
## [205,] 1 1 124.40620 68.62764
## [206,] 1 1 140.02600 68.36275
## [207,] 0 1 117.51900 68.39028
## [208,] 0 0 143.87370 68.77413
## [209,] 1 0 141.17030 69.92360
## [210,] 0 1 155.94140 71.55542
## [211,] 0 0 134.00930 68.44764
## [212,] 1 1 130.09750 66.71398
## [213,] 0 1 106.22650 66.68413
## [214,] 1 1 112.04890 67.93699
## [215,] 1 1 136.18840 68.89855
## [216,] 0 0 131.23600 67.29191
## [217,] 1 0 131.32310 69.57212
## [218,] 1 1 119.52610 67.67479
## [219,] 0 0 116.99650 69.04155
## [220,] 0 1 138.52550 67.96765
## [221,] 1 1 109.65180 65.83982
## [222,] 0 0 130.15690 65.77288
## [223,] 0 1 137.11140 71.14106
## [224,] 0 0 113.75900 67.83055
## [225,] 1 1 114.97250 65.06930
## [226,] 1 1 127.71490 69.70745
## [227,] 0 0 121.99720 69.92983
## [228,] 1 0 117.96070 66.11569
## [229,] 0 1 127.71410 68.61364
## [230,] 1 1 117.96190 68.99760
## [231,] 1 1 125.15540 66.79171
## [232,] 0 1 141.10260 68.02363
## [233,] 1 1 145.48220 69.67258
## [234,] 0 0 116.06500 71.82178
## [235,] 0 0 135.74580 72.74676
## [236,] 1 0 132.92480 67.27951
## [237,] 0 1 115.66220 67.41015
## [238,] 1 1 114.31840 68.53150
## [239,] 0 1 148.95200 68.47126
## [240,] 1 0 142.18780 68.51867
## [241,] 0 0 134.10400 63.72529
## [242,] 0 1 141.89260 67.70483
## [243,] 1 1 138.74440 69.47115
## [244,] 1 0 134.44900 66.70198
## [245,] 0 1 117.01670 65.23126
## [246,] 0 1 115.67520 69.89473
## [247,] 1 1 134.79050 69.83048
## [248,] 0 0 120.57460 65.39790
## [249,] 0 0 120.08350 68.32214
## [250,] 0 0 84.35980 65.93895
## [251,] 1 0 138.93940 70.09805
## [252,] 1 1 143.52450 66.05531
## [253,] 1 1 123.13470 68.23481
## [254,] 1 0 115.52610 65.21758
## [255,] 0 1 120.98440 69.16173
## [256,] 1 0 120.64730 67.60064
## [257,] 0 1 124.03520 67.28621
## [258,] 0 1 117.22380 66.84323
## [259,] 0 1 127.95980 68.08281
## [260,] 1 0 116.75270 66.56991
## [261,] 0 0 121.99570 70.16973
## [262,] 0 1 123.99520 67.85113
## [263,] 0 0 108.85500 66.62309
## [264,] 0 0 104.65740 63.68816
## [265,] 0 1 132.24800 68.03560
## [266,] 1 0 127.18340 66.94100
## [267,] 0 0 125.12090 66.26292
## [268,] 1 1 133.32200 70.73010
## [269,] 1 0 122.33640 70.70844
## [270,] 0 1 130.26360 73.26872
## [271,] 0 0 116.74310 63.79021
## [272,] 0 1 125.85340 67.84109
## [273,] 0 1 100.62700 67.78058
## [274,] 1 0 118.49450 67.23901
## [275,] 0 1 137.12550 66.75701
## [276,] 1 1 118.69910 69.03098
## [277,] 0 0 124.16410 68.52652
## [278,] 0 0 124.94420 64.65419
## [279,] 1 0 126.38890 65.14295
## [280,] 1 0 121.52550 66.74124
## [281,] 0 0 133.29510 66.99923
## [282,] 0 1 127.40720 70.26611
## [283,] 1 1 125.08000 67.57666
## [284,] 1 1 102.81140 66.30582
## [285,] 1 1 134.22120 68.90702
## [286,] 1 0 100.97580 65.60543
## [287,] 0 0 145.88860 68.00189
## [288,] 1 0 155.30460 69.93715
## [289,] 1 0 138.71750 70.14590
## [290,] 0 0 116.26110 66.66364
## [291,] 0 1 120.60870 69.40676
## [292,] 1 1 114.40830 66.80598
## [293,] 1 0 133.34060 67.70048
## [294,] 0 1 92.74955 69.13438
## [295,] 0 1 131.78250 67.53769
## [296,] 1 1 118.38650 65.77912
## [297,] 0 0 131.14660 66.25769
## [298,] 0 0 130.20330 67.39038
## [299,] 0 1 129.18360 64.94327
## [300,] 1 0 143.14450 69.25699
## [301,] 1 1 138.73070 69.07739
## [302,] 1 1 130.95280 69.64403
## [303,] 1 0 124.30320 69.07705
## [304,] 0 1 135.37020 68.01304
## [305,] 1 0 124.19880 68.85664
## [306,] 0 1 111.23890 63.19158
## [307,] 0 1 129.40370 65.57591
## [308,] 0 1 127.74440 69.12101
## [309,] 1 0 121.33110 69.78765
drop(scale(new_cancer,center=center, scale=scale)%*%cancer_pca$rotation[,1])
## [1] -0.646329947 -0.610508061 -0.749550736 1.096019632 0.036188930
## [6] -0.532567242 -2.543550172 2.572207921 1.272938608 1.396823254
## [11] 2.064989024 -3.094017924 0.217887666 -3.138457875 -2.644849262
## [16] 1.650628200 -2.832351242 1.926614145 2.058726013 0.277622753
## [21] 3.229605844 1.856494117 -0.050480044 -3.114648178 0.277610744
## [26] -0.593103049 0.798726715 -1.483179713 1.135171580 -1.513992882
## [31] 1.249804903 -1.015659657 1.959456710 2.332965976 1.785139801
## [36] 2.803119610 -0.906183428 0.625607571 -0.980782008 -2.531034433
## [41] -1.849943675 -0.768929068 1.593703995 -1.913272210 1.543800949
## [46] 0.292377930 -0.251600030 0.254838293 0.179367433 0.952911843
## [51] -0.851848170 0.301087025 -0.906545994 -1.669956979 0.195017025
## [56] 0.200650077 0.518073225 -1.831824121 0.685756178 -0.498748639
## [61] -0.851501742 1.671406217 -1.102287719 0.487489582 -1.821523333
## [66] 1.890194887 -0.908993115 -2.188253111 1.922127515 1.831473258
## [71] 1.111645609 1.972055116 -3.014541351 0.297544932 -3.123513629
## [76] -2.175119346 0.988165063 -3.171148404 1.909872378 1.884232732
## [81] 0.148410514 3.159260208 1.589202745 -0.735262114 -2.492696658
## [86] 0.164831585 -0.791080564 1.019972886 1.355490521 -0.217694604
## [91] 0.200980870 -1.224091912 -1.377079915 1.105509567 -1.763739245
## [96] 2.144246653 -0.247301899 -0.943580309 1.434728986 -3.084789560
## [101] -2.211988131 0.934186102 -3.134406710 1.829037095 1.889637650
## [106] 0.304495611 3.150251750 1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117 0.137370850 -0.769133382 1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669 2.565856126 1.890132650 1.809485293
## [121] 1.154753405 -3.068643554 0.603092803 -0.262265717 -2.166676433
## [126] 1.396820173 -2.621538470 1.904628487 2.449232521 0.346806820
## [131] 3.029389183 1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059 0.779845934 -1.475619881 1.315156524 -1.435594309
## [141] 0.311554205 -1.898169897 1.817982682 1.132188201 1.041211639
## [146] 1.911956582 -2.208254898 0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954 1.527353442 0.134446169 2.379419131
## [156] 1.816004356 0.693446059 1.637082331 0.296933463 0.822754284
## [161] -0.918911402 0.231900961 -1.013939681 -1.772694007 0.113097963
## [166] 0.075576812 0.477358107 -1.789229364 0.719595969 -0.479345237
## [171] -0.706487604 1.659264316 -1.053631487 0.439619994 -1.736485551
## [176] 1.908193822 -1.025193951 -2.229264288 1.957225328 1.838526733
## [181] 1.180112751 1.811861750 -3.110670459 0.360229263 -3.223541067
## [186] -2.269746579 2.747577269 -0.149697264 2.400777592 2.664155409
## [191] 0.613534144 2.833005133 3.117056920 1.396552964 -2.512642306
## [196] 0.041302770 -0.813244847 0.986709032 1.252252204 -0.137885258
## [201] 0.136542296 -1.270419897 -1.511779573 1.085397022 -1.937338444
## [206] 2.079880884 -0.238660237 -0.159651843 1.500566250 -3.014209221
## [211] -2.105058072 0.942418911 -3.148924082 1.878394695 1.966715740
## [216] 0.277041266 3.171498795 1.556928786 -0.616500433 -2.586211894
## [221] 0.137716815 0.865093182 -0.913971012 0.313977949 -1.072776501
## [226] -1.699472023 0.251825578 0.014567830 0.504752774 -1.698692239
## [231] 0.558690456 -0.464475998 -0.736607022 1.791907070 -1.021622690
## [236] 0.511871527 -1.857682768 1.973432877 -0.844025398 1.798603632
## [241] 0.567970913 -3.128591618 0.921300172 -0.707766669 0.727027732
## [246] -0.813209418 1.137562086 -1.568549443 0.206337661 0.582400965
## [251] 1.852485410 1.069824793 1.320083419 1.826416008 -2.295131492
## [256] 0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261] 1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266] 2.455060778 1.289042304 1.464834078 2.198079582 -2.876746306
## [271] 0.060055521 -3.142504794 -2.634807935 1.505301199 -2.740709424
## [276] 1.905774831 2.017633169 0.099735552 3.015656624 1.825438683
## [281] -0.131569292 -1.322834911 1.736775731 -0.592930367 1.928894090
## [286] 2.367428208 0.290098251 3.070879292 1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238 0.861502720 -1.473211209
## [296] 1.111453285 -1.529405423 0.258107397 -1.904656129 1.848956846
## [301] 1.150509115 1.152918867 1.932277477 -2.222289178 0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
predict(cancer_pca)[,1]
## [1] -0.646329947 -0.610508061 -0.749550736 1.096019632 0.036188930
## [6] -0.532567242 -2.543550172 2.572207921 1.272938608 1.396823254
## [11] 2.064989024 -3.094017924 0.217887666 -3.138457875 -2.644849262
## [16] 1.650628200 -2.832351242 1.926614145 2.058726013 0.277622753
## [21] 3.229605844 1.856494117 -0.050480044 -3.114648178 0.277610744
## [26] -0.593103049 0.798726715 -1.483179713 1.135171580 -1.513992882
## [31] 1.249804903 -1.015659657 1.959456710 2.332965976 1.785139801
## [36] 2.803119610 -0.906183428 0.625607571 -0.980782008 -2.531034433
## [41] -1.849943675 -0.768929068 1.593703995 -1.913272210 1.543800949
## [46] 0.292377930 -0.251600030 0.254838293 0.179367433 0.952911843
## [51] -0.851848170 0.301087025 -0.906545994 -1.669956979 0.195017025
## [56] 0.200650077 0.518073225 -1.831824121 0.685756178 -0.498748639
## [61] -0.851501742 1.671406217 -1.102287719 0.487489582 -1.821523333
## [66] 1.890194887 -0.908993115 -2.188253111 1.922127515 1.831473258
## [71] 1.111645609 1.972055116 -3.014541351 0.297544932 -3.123513629
## [76] -2.175119346 0.988165063 -3.171148404 1.909872378 1.884232732
## [81] 0.148410514 3.159260208 1.589202745 -0.735262114 -2.492696658
## [86] 0.164831585 -0.791080564 1.019972886 1.355490521 -0.217694604
## [91] 0.200980870 -1.224091912 -1.377079915 1.105509567 -1.763739245
## [96] 2.144246653 -0.247301899 -0.943580309 1.434728986 -3.084789560
## [101] -2.211988131 0.934186102 -3.134406710 1.829037095 1.889637650
## [106] 0.304495611 3.150251750 1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117 0.137370850 -0.769133382 1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669 2.565856126 1.890132650 1.809485293
## [121] 1.154753405 -3.068643554 0.603092803 -0.262265717 -2.166676433
## [126] 1.396820173 -2.621538470 1.904628487 2.449232521 0.346806820
## [131] 3.029389183 1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059 0.779845934 -1.475619881 1.315156524 -1.435594309
## [141] 0.311554205 -1.898169897 1.817982682 1.132188201 1.041211639
## [146] 1.911956582 -2.208254898 0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954 1.527353442 0.134446169 2.379419131
## [156] 1.816004356 0.693446059 1.637082331 0.296933463 0.822754284
## [161] -0.918911402 0.231900961 -1.013939681 -1.772694007 0.113097963
## [166] 0.075576812 0.477358107 -1.789229364 0.719595969 -0.479345237
## [171] -0.706487604 1.659264316 -1.053631487 0.439619994 -1.736485551
## [176] 1.908193822 -1.025193951 -2.229264288 1.957225328 1.838526733
## [181] 1.180112751 1.811861750 -3.110670459 0.360229263 -3.223541067
## [186] -2.269746579 2.747577269 -0.149697264 2.400777592 2.664155409
## [191] 0.613534144 2.833005133 3.117056920 1.396552964 -2.512642306
## [196] 0.041302770 -0.813244847 0.986709032 1.252252204 -0.137885258
## [201] 0.136542296 -1.270419897 -1.511779573 1.085397022 -1.937338444
## [206] 2.079880884 -0.238660237 -0.159651843 1.500566250 -3.014209221
## [211] -2.105058072 0.942418911 -3.148924082 1.878394695 1.966715740
## [216] 0.277041266 3.171498795 1.556928786 -0.616500433 -2.586211894
## [221] 0.137716815 0.865093182 -0.913971012 0.313977949 -1.072776501
## [226] -1.699472023 0.251825578 0.014567830 0.504752774 -1.698692239
## [231] 0.558690456 -0.464475998 -0.736607022 1.791907070 -1.021622690
## [236] 0.511871527 -1.857682768 1.973432877 -0.844025398 1.798603632
## [241] 0.567970913 -3.128591618 0.921300172 -0.707766669 0.727027732
## [246] -0.813209418 1.137562086 -1.568549443 0.206337661 0.582400965
## [251] 1.852485410 1.069824793 1.320083419 1.826416008 -2.295131492
## [256] 0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261] 1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266] 2.455060778 1.289042304 1.464834078 2.198079582 -2.876746306
## [271] 0.060055521 -3.142504794 -2.634807935 1.505301199 -2.740709424
## [276] 1.905774831 2.017633169 0.099735552 3.015656624 1.825438683
## [281] -0.131569292 -1.322834911 1.736775731 -0.592930367 1.928894090
## [286] 2.367428208 0.290098251 3.070879292 1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238 0.861502720 -1.473211209
## [296] 1.111453285 -1.529405423 0.258107397 -1.904656129 1.848956846
## [301] 1.150509115 1.152918867 1.932277477 -2.222289178 0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
#The aboved two gives us the same thing. predict is a good function to know.
cancer$LUNG_CANCER <- as.factor(cancer$LUNG_CANCER)
out <- sapply(1:5, function(i){plot(cancer$LUNG_CANCER,cancer_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="LUNG CANCER")})
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(ggfortify)
library(psych)
##
## Attaching package: 'psych'
##
## The following objects are masked from 'package:ggplot2':
##
## %+%, alpha
library(corrplot)
## corrplot 0.92 loaded
library(devtools)
## Loading required package: usethis
fviz_eig(cancer_pca, addlabels = TRUE)
# In this scree plot, we will consider the first 7 PC's as it explains almost 70% of the variance in the dataset.
fviz_pca_var(cancer_pca,col.var = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
# The graph is a visualization of the principal components of a PCA analysis. Each point on the plot represents a variable in the original dataset, and the position of the point represents the contribution of the variable to the principal components. The size of the point represents the variability explained by the variable, and the color represents the squared cosine of the variable, which indicates the correlation between the variable and the principal component. The gradient of colors indicates the strength of the correlation, with darker colors indicating stronger correlation. From this graph, we can identify which variables are most important in explaining the variation in the data, and which variables are most strongly correlated with each principal component.Here, alcohol consumption, swallowing difficulty, anxiety, yellow fingers, chest pain, shortness of breath are some of the variables
# Different PCA Method.
res.pca <- PCA(cancer[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 309 individuals, described by 17 variables
## *The results are available in the following objects:
##
## name description
## 1 "$eig" "eigenvalues"
## 2 "$var" "results for the variables"
## 3 "$var$coord" "coord. for the variables"
## 4 "$var$cor" "correlations variables - dimensions"
## 5 "$var$cos2" "cos2 for the variables"
## 6 "$var$contrib" "contributions of the variables"
## 7 "$ind" "results for the individuals"
## 8 "$ind$coord" "coord. for the individuals"
## 9 "$ind$cos2" "cos2 for the individuals"
## 10 "$ind$contrib" "contributions of the individuals"
## 11 "$call" "summary statistics"
## 12 "$call$centre" "mean of the variables"
## 13 "$call$ecart.type" "standard error of the variables"
## 14 "$call$row.w" "weights for the individuals"
## 15 "$call$col.w" "weights for the variables"
# Visualize and Interpret PCA using these functions
#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.
eig.val <- get_eigenvalue(res.pca)
eig.val
## eigenvalue variance.percent cumulative.variance.percent
## Dim.1 2.8645733 16.850431 16.85043
## Dim.2 1.9575778 11.515164 28.36559
## Dim.3 1.6886084 9.932991 38.29859
## Dim.4 1.4725468 8.662040 46.96063
## Dim.5 1.3035915 7.668185 54.62881
## Dim.6 1.0719035 6.305315 60.93413
## Dim.7 0.9543405 5.613767 66.54789
## Dim.8 0.8911585 5.242109 71.79000
## Dim.9 0.8156856 4.798150 76.58815
## Dim.10 0.7144905 4.202885 80.79104
## Dim.11 0.6332509 3.725005 84.51604
## Dim.12 0.5858596 3.446233 87.96228
## Dim.13 0.5307591 3.122113 91.08439
## Dim.14 0.5162084 3.036520 94.12091
## Dim.15 0.4035160 2.373623 96.49453
## Dim.16 0.3189926 1.876427 98.37096
## Dim.17 0.2769370 1.629041 100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 20))
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = cancer$LUNG_CANCER, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
#Each ellipse represents the range of scores for each group in the first two principal components. The center of the ellipse represents the centroid of each group in the first two principal components.If the ellipses of two groups overlap significantly, it means that they have similar scores in the first two principal components, and thus are not easily distinguishable based on those components. On the other hand, if the ellipses of two groups do not overlap, it means that they have different scores in the first two principal components, and thus are easily distinguishable based on those components. In the graph, some part of the ellipse is overlapping while some part isn't. So, some of the scores for PC1 and PC2 are same while some are different.
res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
fviz_pca_biplot(res.pca,
# Individuals
geom.ind = "point",
fill.ind = cancer$LUNG_CANCER, col.ind = "black",
pointshape = 21, pointsize = 2,
palette = "jco",
addEllipses = TRUE,
# Variables
alpha.var ="contrib", col.var = "contrib",
gradient.cols = "RdYlBu",
legend.title = list(fill = "LUNG CANCER", color = "Contrib",
alpha = "Contrib")
)
# Here we can underrstand that the closer the variables are to a principal component, the stronger the relationship. Variables that are close together on the biplot are positively correlated, while variables that are far apart are negatively correlated. Here, peer pressure, anxiety, swallowing difficulty, yellow fingers are strongly correlated with each other. Also, chest pain, allergy, wheezing and coughing are correlated to each other. These can be considered as some of the important factors that affect lung cancer.
EFA
# Factor Analysis
library(psych)
library(readr)
data <- read_csv("/Users/batul/Desktop/MVA/LUNGCANCER3.csv")
## Rows: 309 Columns: 18
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (18): LUNG_CANCER, GENDER, AGE, SMOKING, YELLOW_FINGERS, ANXIETY, PEER_P...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
attach(data)
## The following objects are masked from cancer (pos = 28):
##
## AGE, ALCOHOL_CONSUMING, ALLERGY, ANXIETY, CHEST_PAIN,
## CHRONIC_DISEASE, COUGHING, FATIGUE, GENDER, HEIGHT_INCH,
## LUNG_CANCER, PEER_PRESSURE, SHORTNESS_OF_BREATH, SMOKING,
## SWALLOWING_DIFFICULTY, WEIGHT, WHEEZING, YELLOW_FINGERS
##
## The following objects are masked from cancer (pos = 48):
##
## AGE, ALCOHOL_CONSUMING, ALLERGY, ANXIETY, CHEST_PAIN,
## CHRONIC_DISEASE, COUGHING, FATIGUE, GENDER, HEIGHT_INCH,
## LUNG_CANCER, PEER_PRESSURE, SHORTNESS_OF_BREATH, SMOKING,
## SWALLOWING_DIFFICULTY, WEIGHT, WHEEZING, YELLOW_FINGERS
data[1]
## # A tibble: 309 × 1
## LUNG_CANCER
## <dbl>
## 1 1
## 2 1
## 3 0
## 4 0
## 5 0
## 6 1
## 7 1
## 8 1
## 9 0
## 10 1
## # … with 299 more rows
fit.pc <- principal(data[-1], nfactors=7, rotate="varimax")
fit.pc
## Principal Components Analysis
## Call: principal(r = data[-1], nfactors = 7, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
## RC1 RC5 RC2 RC3 RC4 RC6 RC7 h2 u2 com
## GENDER 0.24 -0.61 0.21 0.00 -0.02 0.39 -0.08 0.63 0.37 2.4
## AGE 0.06 -0.03 -0.03 -0.04 0.10 0.03 0.81 0.68 0.32 1.1
## SMOKING -0.15 -0.30 -0.23 0.22 0.61 0.16 0.15 0.63 0.37 2.7
## YELLOW_FINGERS 0.74 -0.20 -0.01 0.08 -0.07 -0.03 0.18 0.63 0.37 1.3
## ANXIETY 0.75 -0.08 -0.12 -0.03 -0.35 -0.07 0.18 0.75 0.25 1.7
## PEER_PRESSURE 0.59 -0.24 -0.05 0.04 0.29 0.08 -0.29 0.59 0.41 2.5
## CHRONIC_DISEASE 0.02 -0.04 -0.08 0.04 -0.05 0.89 0.00 0.80 0.20 1.0
## FATIGUE -0.07 -0.11 0.75 0.03 0.23 -0.06 -0.17 0.66 0.34 1.4
## ALLERGY -0.09 0.57 0.06 0.04 0.16 0.42 0.07 0.55 0.45 2.2
## WHEEZING 0.04 0.32 0.16 -0.04 0.68 -0.07 0.01 0.60 0.40 1.6
## ALCOHOL_CONSUMING -0.18 0.67 -0.33 -0.07 0.28 0.02 0.07 0.68 0.32 2.1
## COUGHING -0.08 0.21 0.35 -0.04 0.52 -0.18 0.42 0.65 0.35 3.5
## SHORTNESS_OF_BREATH -0.17 -0.01 0.82 0.00 -0.10 0.02 0.15 0.74 0.26 1.2
## SWALLOWING_DIFFICULTY 0.77 0.13 -0.12 0.03 0.05 0.06 -0.12 0.66 0.34 1.2
## CHEST_PAIN 0.03 0.74 0.09 0.12 -0.06 -0.03 -0.09 0.59 0.41 1.1
## WEIGHT -0.02 0.03 -0.02 0.86 0.06 0.04 0.00 0.74 0.26 1.0
## HEIGHT_INCH 0.11 0.06 0.04 0.84 -0.01 0.01 -0.06 0.73 0.27 1.1
##
## RC1 RC5 RC2 RC3 RC4 RC6 RC7
## SS loadings 2.24 2.08 1.65 1.54 1.50 1.20 1.10
## Proportion Var 0.13 0.12 0.10 0.09 0.09 0.07 0.06
## Cumulative Var 0.13 0.25 0.35 0.44 0.53 0.60 0.67
## Proportion Explained 0.20 0.18 0.15 0.14 0.13 0.11 0.10
## Cumulative Proportion 0.20 0.38 0.53 0.66 0.80 0.90 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 7 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.08
## with the empirical chi square 502.71 with prob < 1.9e-82
##
## Fit based upon off diagonal values = 0.78
round(fit.pc$values, 3)
## [1] 2.865 1.958 1.689 1.473 1.304 1.072 0.954 0.891 0.816 0.714 0.633 0.586
## [13] 0.531 0.516 0.404 0.319 0.277
fit.pc$loadings
##
## Loadings:
## RC1 RC5 RC2 RC3 RC4 RC6 RC7
## GENDER 0.238 -0.608 0.209 0.391
## AGE 0.812
## SMOKING -0.146 -0.300 -0.229 0.223 0.605 0.163 0.154
## YELLOW_FINGERS 0.739 -0.202 0.182
## ANXIETY 0.752 -0.124 -0.349 0.180
## PEER_PRESSURE 0.594 -0.241 0.293 -0.289
## CHRONIC_DISEASE 0.886
## FATIGUE -0.111 0.747 0.231 -0.167
## ALLERGY 0.568 0.162 0.421
## WHEEZING 0.325 0.155 0.681
## ALCOHOL_CONSUMING -0.178 0.674 -0.333 0.276
## COUGHING 0.212 0.354 0.517 -0.178 0.421
## SHORTNESS_OF_BREATH -0.174 0.823 -0.104 0.147
## SWALLOWING_DIFFICULTY 0.775 0.135 -0.122 -0.123
## CHEST_PAIN 0.744 0.117
## WEIGHT 0.857
## HEIGHT_INCH 0.105 0.845
##
## RC1 RC5 RC2 RC3 RC4 RC6 RC7
## SS loadings 2.242 2.084 1.646 1.536 1.499 1.204 1.104
## Proportion Var 0.132 0.123 0.097 0.090 0.088 0.071 0.065
## Cumulative Var 0.132 0.254 0.351 0.442 0.530 0.601 0.665
#The loadings table shows how strongly each item is associated with each factor, with larger absolute values indicating stronger associations. For example, in the first row we see that GENDER has a loading of 0.238 on the first factor (RC1), -0.608 on the fifth factor (RC5), 0.209 on the second factor (RC2), and no significant loading on the other factors.
# Loadings with more digits
for (i in c(1,3,2,4,5,6,7)) { print(fit.pc$loadings[[1,i]])}
## [1] 0.2376566
## [1] 0.2091599
## [1] -0.6082549
## [1] 0.003326137
## [1] -0.0188464
## [1] 0.3913377
## [1] -0.08192975
# Communalities
fit.pc$communality
## GENDER AGE SMOKING
## 0.6304266 0.6770701 0.6301106
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 0.6318961 0.7475012 0.5911141
## CHRONIC_DISEASE FATIGUE ALLERGY
## 0.7978935 0.6613568 0.5453794
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 0.6020532 0.6845913 0.6534088
## SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY CHEST_PAIN
## 0.7407695 0.6556043 0.5893593
## WEIGHT HEIGHT_INCH
## 0.7410355 0.7335716
# The variable GENDER, the communality estimate is 0.6304266. This means that 63.04% of the variance in GENDER is accounted for by the factors in the analysis. Similarly, for AGE, the communality estimate is 0.6770701, which means that 67.71% of the variance in AGE is accounted for by the factors.
# Rotated factor scores, Notice the columns ordering: RC1, RC3, RC2 and RC4
fit.pc$scores
## RC1 RC5 RC2 RC3 RC4
## [1,] 0.826480088 0.565288896 0.382211396 -1.097397929 0.760114393
## [2,] -0.549203489 0.878516107 0.845029758 1.624653230 -1.759320426
## [3,] -0.698405881 -0.954365204 0.945158199 1.807157994 1.339240947
## [4,] 0.569246677 0.773899168 -1.710458875 0.932681327 -1.705658351
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## [26,] 0.765467482 0.602518396 0.393260527 0.098315351 0.698925206
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## [46,] 1.541311527 1.023315054 0.839872551 0.086193129 0.238204214
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## [48,] 1.071736963 0.238737571 0.037479496 -0.770791836 1.308985736
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## [53,] 0.418700040 1.002702666 0.195773775 0.262016025 1.319610835
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## [55,] -0.376196400 -0.951513530 -0.629004064 -0.894054031 1.347103574
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## [58,] -0.807859107 1.028093737 -0.636642780 -0.126241298 -0.162241380
## [59,] 0.537653914 -0.213902026 0.482079334 -0.612250279 0.889509025
## [60,] 0.588747776 1.027133151 0.827882986 0.252838604 -0.668433226
## [61,] 0.726917810 0.862843319 -0.535434671 -0.330078075 2.021492708
## [62,] -0.313521416 -1.812115052 -1.342046097 1.113771471 -0.359900299
## [63,] -0.198918502 -0.316238118 -0.785863930 0.236880144 2.165312084
## [64,] -0.068940817 -0.143964250 -1.876541906 -0.328134787 0.454064531
## [65,] -0.012866469 0.646570763 0.560467794 1.388079813 1.469266162
## [66,] 1.817283728 -0.152439723 0.452821612 -0.921092923 0.448384024
## [67,] -0.517605891 -0.123400708 1.300425899 1.279242014 0.632991327
## [68,] -1.331958154 -0.073011087 0.479136246 0.036189659 0.324880403
## [69,] 1.575672872 0.116647874 1.156788387 -1.212680820 -1.204884567
## [70,] 1.574133408 -1.017165807 1.203967020 -0.475989803 0.454094390
## [71,] 1.210291355 1.146405067 -1.588501082 -0.643465008 -0.947562353
## [72,] 1.534907763 -0.898669229 1.292004735 0.948576894 0.369776823
## [73,] -1.314111440 0.969555881 0.509520121 1.310704898 0.797716899
## [74,] -1.451153852 -1.421211775 0.662871098 -2.177548151 -1.301513550
## [75,] -1.072150509 1.413434034 0.948646309 0.080214177 0.118721323
## [76,] -1.308696027 0.529340436 -1.333886872 -1.002486833 0.484699445
## [77,] 1.544856744 0.014670790 1.215360449 0.742155356 0.961720285
## [78,] -1.137014517 1.384407796 0.914040133 -0.516853941 0.211079149
## [79,] 1.220587281 0.703999194 -1.655525854 -0.045526260 -1.215827965
## [80,] 1.540810037 -0.377741348 1.325305596 -0.194995475 -0.716044695
## [81,] -1.712034648 -1.947957654 0.221257718 0.886845000 -0.467225658
## [82,] 1.140407208 -1.162293439 0.789686141 -0.670473209 -1.064016094
## [83,] 1.471974912 1.053141754 -1.079337585 1.667612009 -0.226385555
## [84,] -1.076383694 -0.824328853 -0.675341345 -0.373920747 0.609871851
## [85,] -1.544102072 0.790815298 0.405901331 0.712064277 -0.052113686
## [86,] 0.464404181 -0.103995252 -0.763864720 0.993180816 0.576900589
## [87,] -0.306680909 0.839429334 -0.525413143 0.814974542 -0.831664481
## [88,] 0.762536080 -0.118127737 -0.611728359 1.159423633 0.117576103
## [89,] -0.140931426 -0.110305544 -1.407220685 0.268494932 -1.642069778
## [90,] 0.249988313 0.928295124 -0.200387236 -0.058837809 0.677280278
## [91,] -0.057650169 -0.257772108 -1.842904387 0.513484384 1.317085294
## [92,] -1.344583390 -0.346083970 1.014568405 1.678878453 -0.341928528
## [93,] -0.436890020 1.675108582 -0.403903352 1.464240575 -0.143714306
## [94,] 1.273410960 -0.061538249 -0.246999189 -0.528475991 1.255925889
## [95,] -0.597346995 1.662388382 0.901781147 0.849645570 -0.780911845
## [96,] 1.082907113 -0.498067641 -0.770564524 1.369112368 -0.195013293
## [97,] 0.109021175 0.790648370 0.210743184 -0.730415950 -1.424610513
## [98,] -1.115907438 -0.440633161 -0.670940494 -1.588318546 -0.121203521
## [99,] 1.030822370 -0.691831569 -0.527393754 -0.099102179 0.769538330
## [100,] -1.034252870 1.456830999 1.000107021 -0.357470201 0.139096588
## [101,] -1.257088705 0.511506992 -1.328249025 -2.290156252 0.563205195
## [102,] 1.579503912 -0.029088895 1.188955864 -0.006858820 0.999442364
## [103,] -1.081445010 1.397575566 0.929518490 0.381458929 0.095588148
## [104,] 1.220879126 0.661474489 -1.676761852 -2.040801590 -1.043426869
## [105,] 1.567285043 -0.368052937 1.342889173 -0.563783564 -0.699171392
## [106,] -1.697405657 -1.882736973 0.244057706 0.119172024 -0.558213327
## [107,] 1.170762184 -1.181079072 0.775841650 -0.352646414 -1.115400298
## [108,] 1.531529801 1.009050805 -1.085874574 -0.778616931 -0.053169977
## [109,] -1.153857491 -0.608107981 -0.500290494 0.467149785 0.617500551
## [110,] -1.706799702 0.598130764 -0.039387787 -0.881947063 -0.442028034
## [111,] 0.774755487 0.650537711 0.441205194 -0.125360549 0.719801993
## [112,] 0.734651661 1.478861605 0.573597501 0.751625073 -1.723343377
## [113,] -0.577837122 -0.972747149 0.959805714 1.037837514 1.325407979
## [114,] 0.647117660 0.762701261 -1.686168570 -1.164392436 -1.571100503
## [115,] -0.653556279 -1.132267884 0.439441370 0.449948788 1.206396661
## [116,] -0.610802330 -1.035534224 1.010553481 0.386193640 0.872064472
## [117,] -1.154682537 0.823738102 0.776264594 0.460837420 0.069685201
## [118,] 1.195816991 -0.562881051 0.995019279 0.892669813 -1.010154448
## [119,] 1.500231340 -0.929860626 1.277836447 -1.477682190 0.605679796
## [120,] 1.097998845 0.243844421 -1.667180328 0.901080525 -0.045073581
## [121,] 1.441379569 -0.535081227 0.913903181 -1.093216160 0.422803600
## [122,] -1.237521974 0.950730287 0.528074354 -0.958031956 0.947396362
## [123,] -0.965807797 -0.699786233 0.447648911 0.537712127 -2.019380544
## [124,] 0.170347057 0.209947494 1.087162081 0.393677251 -0.181040537
## [125,] -1.225925619 1.113791840 -1.237871859 -0.873393505 -0.756963284
## [126,] 0.295787236 -1.271484172 0.873766931 -0.712681959 0.296055826
## [127,] -1.115115836 0.822684406 0.799115390 -1.309042627 0.201847260
## [128,] 1.155001779 0.713145452 -1.657396160 -0.401731510 -1.139007629
## [129,] 1.236766529 -1.124150770 1.127312078 0.827293906 -0.484375489
## [130,] -1.701413608 -1.861929051 0.252198451 1.259785592 -0.654726764
## [131,] 1.133403972 -1.206351594 0.785850175 0.323891606 -0.995321614
## [132,] 1.343904904 -0.803058121 -0.964914238 1.097047071 1.344482828
## [133,] -1.383165095 -0.726119520 0.908149879 -0.213229160 -1.437576280
## [134,] -1.043340024 1.270853782 0.835386503 -1.232458711 0.196418343
## [135,] 1.039112517 1.828121696 -0.934451412 0.802813410 -0.385302189
## [136,] -0.101958081 -0.180105743 0.041518159 0.483849350 0.930824542
## [137,] 0.121254548 0.058109212 1.199117795 -0.845208144 -1.922992713
## [138,] -0.723715438 -0.512570025 0.649972794 0.080870364 1.330084730
## [139,] 0.861306432 0.827719745 -0.062299294 2.728011360 -1.316541767
## [140,] -0.847185219 -0.589254761 0.183426367 0.890155726 1.129672810
## [141,] 0.039828638 -0.552789037 1.532858158 0.640291404 0.639270757
## [142,] -0.440334540 0.863584028 0.734945763 -1.518152558 -0.233958670
## [143,] 1.136501663 -0.154928005 0.654726413 -0.034507309 -1.073265156
## [144,] 1.749612814 0.603810283 1.729371540 -0.046596199 0.129466516
## [145,] 1.067431191 0.656407948 -1.984469156 -1.477441705 0.003446725
## [146,] 1.568444972 -0.932263374 1.282040054 -0.626966371 0.483784012
## [147,] -0.689411923 0.972500360 0.656701256 0.663192394 0.866986234
## [148,] -0.341721460 -1.115529080 0.185425946 -1.732657814 1.224506997
## [149,] -1.043250861 1.376592276 0.918514618 0.333080503 0.071491717
## [150,] -1.148658276 1.399531442 -1.075854940 0.683409694 0.124061278
## [151,] -0.585323484 1.305468330 0.806459503 0.445000342 -1.295553071
## [152,] -0.270430494 -0.054395384 -1.241831722 0.286019769 1.846247395
## [153,] 0.436846069 -1.393358234 -1.073107368 -0.792027137 1.154873703
## [154,] -0.935119438 -0.406310893 -1.510717337 0.252547299 -1.014526559
## [155,] -0.291662487 -1.570378573 -1.227546631 1.755832367 -1.004963467
## [156,] 0.502010320 -0.304888248 -1.381956276 -1.909865509 -1.506663911
## [157,] -0.932179665 -0.016673423 -1.233762767 2.643703333 -1.912320748
## [158,] -0.042238635 -0.860855001 -1.014062218 -0.804856612 -0.908300692
## [159,] 0.690007741 0.697890669 0.490356538 1.623487220 0.661652585
## [160,] -0.677058748 -0.979647878 -2.534758759 -1.204439700 -0.077911953
## [161,] -0.799894244 0.080596849 -0.702651085 0.611900555 1.405631915
## [162,] 0.021439235 -0.018875613 0.815771825 -1.885521307 -0.919009868
## [163,] 0.425991486 0.885389090 0.086007832 0.670209182 1.261080448
## [164,] 0.279105604 1.592613041 0.950898516 -0.497193360 0.782191067
## [165,] -0.330742620 -1.043978915 -0.706597515 -0.661840317 1.282616142
## [166,] 0.562762602 0.442338902 -1.660189376 -0.281434759 0.909186152
## [167,] -0.113972062 -1.242388592 0.929827001 -0.028642762 0.469121288
## [168,] -0.837662531 1.079278459 -0.593621565 -0.369546076 -0.113176492
## [169,] 0.507715609 -0.187919099 0.494540841 -0.021204551 0.860222002
## [170,] 0.609454531 1.074391001 0.889061521 -1.276446519 -0.538257047
## [171,] 0.724913075 0.999069882 -0.415599432 0.203657847 1.994863198
## [172,] -0.285749279 -1.809285276 -1.325506299 0.183853183 -0.294606011
## [173,] -0.235763764 -0.254697870 -0.733229631 -0.181350426 2.236240021
## [174,] -0.049732403 -0.176078273 -1.893738410 -1.266730740 0.520729007
## [175,] -0.001534355 0.710387890 0.611931051 2.447379104 1.376121583
## [176,] 1.776831750 -0.116921383 0.482894748 -1.570358302 0.538615892
## [177,] -0.418996647 -0.222105247 1.243568723 -0.242822716 0.689484966
## [178,] -1.309358959 -0.092801375 0.476557048 -1.197011605 0.417489304
## [179,] 1.441540972 0.158103807 1.163187082 -0.742038798 -1.151912302
## [180,] 1.564545492 -0.999263239 1.222814167 -0.969681250 0.507313970
## [181,] 1.191424599 1.202114942 -1.548305206 0.150933393 -0.998091093
## [182,] 1.575147896 -1.020640732 1.208430347 -1.314168671 0.528022931
## [183,] -1.217944273 0.908162159 0.493979469 -1.065357391 0.937800777
## [184,] -1.442710880 -1.404203393 0.659682994 0.133153001 -1.511703515
## [185,] -1.102283714 1.315236390 0.852117322 0.110161838 0.121733649
## [186,] -1.278288103 0.423819393 -1.427411617 -0.671966434 0.419493364
## [187,] 0.252411167 -2.145835682 -0.801154159 0.431433100 -0.122101554
## [188,] -1.581550323 -1.047007036 -0.691909814 -0.562797987 -1.010989473
## [189,] 0.219960073 -1.046968637 -1.577424240 -0.217799790 -1.348991645
## [190,] 0.565071342 -1.677416027 -0.321976922 -1.143898606 -0.813580727
## [191,] -1.689319410 -2.004806216 -0.873953873 1.742822745 -0.347334020
## [192,] 0.431460528 -1.590168640 -0.312801731 -1.518667991 -0.838091937
## [193,] 0.285995268 -1.475343909 -1.248947801 0.084999344 -1.237372586
## [194,] -1.265452250 -2.134387753 -1.872361501 0.921594818 0.061452802
## [195,] -1.575579219 0.756166708 0.359487071 1.633289135 -0.118808164
## [196,] 0.529303317 -0.200227213 -0.822618724 -0.836851816 0.683744666
## [197,] -0.233993222 0.839235834 -0.496930377 -0.736788953 -0.740923897
## [198,] 0.743707167 -0.135953679 -0.625768171 0.464740121 0.189734623
## [199,] -0.149055287 -0.207655786 -1.495484012 -0.037430809 -1.623456545
## [200,] 0.298391478 0.988843749 -0.141517372 0.683268233 0.587457286
## [201,] -0.024328298 -0.299144890 -1.861597323 -0.887821455 1.414487697
## [202,] -1.318405523 -0.347297959 1.040785935 -0.795257655 -0.137787564
## [203,] -0.353683131 1.542527361 -0.502661505 0.805459761 -0.159288593
## [204,] 1.236167206 -0.094681311 -0.292751504 0.340832630 1.197933809
## [205,] -0.468749173 1.488072304 0.775251519 0.052580251 -0.820333080
## [206,] 1.035201940 -0.552905023 -0.828490195 1.126800318 -0.149607593
## [207,] 0.177227283 0.781748006 0.212068475 -0.227036079 -1.516324115
## [208,] -1.069552769 -0.944425097 -0.238441611 1.068151630 -0.613446193
## [209,] 1.027667470 -0.655013847 -0.507854288 1.431629962 0.639834524
## [210,] -1.159430869 1.489763469 0.980902989 2.321873875 -0.013043857
## [211,] -1.351112727 0.580490961 -1.306697680 0.242638474 0.408759820
## [212,] 1.562013769 -0.016289911 1.198248016 -0.134041425 1.024324058
## [213,] -1.016857307 1.411072219 0.971187147 -1.427421778 0.216746168
## [214,] 1.203597874 0.687632003 -1.667912453 -0.733260850 -1.145301339
## [215,] 1.459915550 -0.304204026 1.367632355 0.771510516 -0.738192522
## [216,] -1.727189180 -1.910182809 0.211377280 0.277109685 -0.556584241
## [217,] 1.182325126 -1.179592704 0.771127709 0.598215298 -1.208071248
## [218,] 1.558160745 1.057603183 -1.036399296 -0.719829394 -0.069047511
## [219,] -1.040659084 -0.712709073 -0.567554914 -0.155955657 0.582887265
## [220,] -1.542888013 0.694087381 0.316437916 0.820791632 -0.076769724
## [221,] 0.734266676 0.593990104 0.432122547 -1.533073229 0.899959267
## [222,] -0.750101700 -0.944196668 -2.524250348 -0.408843818 -0.095514479
## [223,] -0.642376903 0.052533252 -0.703013559 1.384141268 1.227703615
## [224,] 0.048375496 0.037854139 0.862875127 -0.707816247 -1.034163860
## [225,] 0.429230918 0.872581005 0.096183871 -1.724137159 1.471618069
## [226,] 0.232450398 1.657360946 0.994186094 0.242286600 0.756360867
## [227,] -0.274197249 -0.930469385 -0.600015682 0.366892022 1.169423548
## [228,] 0.614702995 0.388974398 -1.692110258 -1.002981366 0.931558639
## [229,] -0.175980940 -1.220337828 0.931633435 0.616738680 0.455695520
## [230,] -0.800220362 1.157615001 -0.518092789 0.081771169 -0.167066628
## [231,] 0.631403785 -0.361558778 0.361878282 -0.170986093 0.766157670
## [232,] 0.549070076 1.056890890 0.842823751 0.730205949 -0.680513368
## [233,] 0.670749674 0.952030579 -0.480149308 1.363986327 1.920005568
## [234,] -0.241571190 -1.694355481 -1.217364864 0.898644349 -0.371243912
## [235,] -0.147363703 -0.271539819 -0.748293256 1.812441992 1.996397990
## [236,] -0.095577104 -0.121509338 -1.863745055 -0.063215358 0.451293719
## [237,] -0.016168792 0.648185669 0.578362550 -0.536154539 1.644125985
## [238,] 1.742488219 -0.065513393 0.514708560 -0.633287869 0.484955797
## [239,] -0.612502807 -0.049163134 1.348131765 1.389657629 0.696961375
## [240,] 1.321140529 -0.928267466 -1.082491559 0.876337984 1.361122261
## [241,] -1.002015770 -0.981684591 -0.215332758 -0.950816502 -1.026281090
## [242,] -1.135123118 1.406190150 0.924914565 0.552588737 0.117166644
## [243,] 0.953767675 1.081646741 -0.979245181 1.018069642 -1.219424332
## [244,] -0.168790145 -0.087418193 0.071242736 -0.103572449 0.881802927
## [245,] 0.140801009 0.005838188 1.156654336 -1.013345799 -1.928533203
## [246,] -0.783663670 -0.530846015 0.369611151 0.302234892 0.734675726
## [247,] 0.939106896 0.677463324 -0.167050773 0.793461400 -1.216780708
## [248,] -0.846694599 -0.688639038 0.108165958 -0.891478093 1.274505218
## [249,] 0.147482248 -0.650059480 1.475261364 -0.441872405 0.650546054
## [250,] -0.741483547 -0.982374175 -0.685221666 -2.488957926 -1.399264642
## [251,] 1.122992383 -0.143105879 0.651692127 1.217106518 -1.174724278
## [252,] 1.668580762 0.548166586 1.660890246 0.048200130 0.166684609
## [253,] 0.996307645 0.809683949 -1.919119089 0.084109530 -0.226457610
## [254,] 1.545551957 -0.998004637 1.225209527 -1.547159841 0.571862343
## [255,] -0.552839919 0.877131066 0.600732669 0.260642789 0.798428740
## [256,] -0.261557340 -1.165454976 0.144548897 -0.439966236 1.048136698
## [257,] -1.069536700 1.402963452 0.943927621 -0.409918545 0.159378829
## [258,] -1.073181758 1.342934708 -1.098546879 -0.868747354 0.204758895
## [259,] -0.600194736 1.262362109 0.766492726 0.149241351 -1.265457962
## [260,] -0.212826577 -0.038598113 -1.204263615 -0.984434653 1.924131713
## [261,] 0.419588231 -1.251747843 -0.956489857 0.308651466 1.088357897
## [262,] -0.690054007 1.234892476 0.641147427 -0.319716177 0.266584212
## [263,] -0.679498838 -1.664720102 -0.130024038 -1.015582442 0.758421320
## [264,] -0.579398714 -1.109165136 0.972083154 -2.164939842 1.069072762
## [265,] -1.115184477 0.745697454 0.714744157 0.236155779 0.052200071
## [266,] 1.230013885 -0.654718891 0.928601503 -0.328130367 -0.936868087
## [267,] -0.806361592 -1.437611269 -0.422670600 -0.555456735 -1.350727643
## [268,] 1.199638233 1.365398894 -1.451597936 1.044224573 -1.219354948
## [269,] 1.510512163 -0.760237908 1.373141225 0.276027635 0.306865061
## [270,] -1.282318552 1.095903292 0.627776758 1.780594943 0.752916901
## [271,] -1.445560994 -1.567556563 0.571317737 -1.582976393 -1.220278078
## [272,] -1.059506883 1.397520302 0.938763130 -0.159542633 0.129486256
## [273,] -1.000942416 1.369078261 -1.055217975 -1.381671413 0.206547811
## [274,] 1.349569512 -0.744349805 1.049822050 -0.686110966 1.338900373
## [275,] -1.236489609 1.557382820 0.003472524 -0.001300894 -0.272338042
## [276,] 1.190827488 0.704378245 -1.660755694 -0.103424707 -1.190815669
## [277,] 0.507958459 -1.360278961 1.143217788 -0.036092454 -0.755053866
## [278,] -1.643530595 -2.078710243 0.082962561 -0.745487995 -0.545099234
## [279,] 1.187670339 -1.308224545 0.667502336 -0.899156980 -1.096201688
## [280,] 1.321568354 -0.871542686 -1.016933916 -0.635430041 1.504580181
## [281,] -1.479552599 -0.764527386 0.851152197 0.015194241 -1.399618620
## [282,] -1.341408386 0.574272317 0.877607256 0.936733255 -1.694397608
## [283,] 0.406337816 -0.237182289 -1.681378313 0.277072752 -0.983240867
## [284,] 0.838098531 0.624632591 0.442080785 -1.440176030 0.791767386
## [285,] 1.110138572 0.723389207 -1.665943947 0.584961663 -1.196129711
## [286,] 1.347062571 -1.164296557 1.137952506 -1.976003363 -0.312293829
## [287,] -1.770474306 -1.909703303 0.194979796 1.175320073 -0.608249651
## [288,] 1.067013255 -1.187422381 0.775814865 1.879173741 -1.087828074
## [289,] 1.302037219 -0.827411575 -0.996406583 1.162147281 1.362909290
## [290,] -1.412555693 -0.771571549 0.866380566 -0.883023974 -1.364661060
## [291,] -0.976313322 1.365338646 0.924284533 0.063642187 0.049529845
## [292,] 1.043137497 1.755924443 -0.983108555 -1.084228038 -0.229407121
## [293,] -0.097871730 -0.188316396 0.037250471 0.210345483 0.951421341
## [294,] 0.245752353 0.130335019 1.292630582 -1.043626202 -1.977380263
## [295,] -0.741105700 -0.513326284 0.643381723 0.344066642 1.317941365
## [296,] 0.895049825 0.694733939 -0.142739544 -1.175258426 -1.008578932
## [297,] -0.890949583 -0.658626426 0.120056913 -0.149873493 1.241824527
## [298,] 0.038802448 -0.589035354 1.507367119 -0.257632108 0.715129310
## [299,] -0.501880494 0.850767109 0.704587936 -0.842540792 -0.255485884
## [300,] 1.083771229 -0.141230565 0.645828874 1.167031247 -1.143909845
## [301,] 1.716160961 0.611602122 1.723104516 0.693000387 0.086548884
## [302,] 1.027736247 0.726430708 -1.949763452 0.933726468 -0.176037739
## [303,] 1.548147843 -0.921317538 1.282549092 -0.021314259 0.444590738
## [304,] -0.701235780 0.961399067 0.644878850 0.575005085 0.881124032
## [305,] -0.335925534 -1.040751493 0.239298355 0.060078781 1.070915097
## [306,] -1.031176032 1.284687912 0.859000879 -2.181883162 0.275433546
## [307,] -1.153985738 1.342534823 -1.117234673 -0.668274994 0.240412446
## [308,] -0.598669875 1.296466727 0.795561870 0.434506953 -1.287059829
## [309,] -0.180216802 -0.001095889 -1.173402554 0.166545170 1.804799702
## RC6 RC7
## [1,] -1.406200250 1.209624174
## [2,] 1.033828152 0.476375571
## [3,] -0.957046637 -0.834521552
## [4,] -1.501700427 0.270853672
## [5,] -0.979707689 1.081471087
## [6,] 1.367060381 1.861553048
## [7,] -1.708099840 -1.000040311
## [8,] -0.143895152 -1.397455558
## [9,] -0.946360459 0.118563122
## [10,] 0.865503971 -1.146777164
## [11,] 0.391158797 -0.095007080
## [12,] 0.975901569 1.094682778
## [13,] -0.752923988 -0.688958986
## [14,] -0.761124021 -0.429032059
## [15,] -0.825211752 0.661321359
## [16,] 1.108765179 -0.954110773
## [17,] 0.900170709 1.657239539
## [18,] -0.006380731 -0.787076834
## [19,] 0.325991809 1.021020755
## [20,] 0.925442120 -0.324860655
## [21,] 0.552149654 -2.024598837
## [22,] -0.365715696 0.554486434
## [23,] 1.479393589 -4.184874754
## [24,] -0.796598417 -0.218782850
## [25,] 0.580409308 1.107855217
## [26,] -1.505970340 0.910507638
## [27,] -0.046960802 -0.022485134
## [28,] -1.406374100 0.086069990
## [29,] 0.742154540 -0.683894822
## [30,] -1.493995349 -0.068434132
## [31,] -0.767463506 -0.259965123
## [32,] -0.447412540 -0.091944401
## [33,] -1.433305535 0.024007086
## [34,] 0.694811747 0.877609454
## [35,] -1.539030524 0.053032332
## [36,] 0.654263937 0.304223118
## [37,] -0.039405422 0.787431265
## [38,] 0.914922189 -0.822032003
## [39,] 0.104265917 -0.825649610
## [40,] 0.740294618 -0.108343718
## [41,] -0.744179680 1.119911091
## [42,] -0.414167698 -1.344992128
## [43,] 0.585429044 0.949007246
## [44,] -0.575894671 -2.140061505
## [45,] 0.672051771 0.547764599
## [46,] -0.090399469 0.844052066
## [47,] 0.792945567 0.847133804
## [48,] -1.047005075 -0.845754122
## [49,] 1.693223405 -0.094381821
## [50,] 0.125815573 -0.311421963
## [51,] 1.452593010 -1.851982310
## [52,] 0.689689032 0.483078336
## [53,] -0.317780630 -2.019299421
## [54,] 0.768120352 -2.037223796
## [55,] 1.374867736 -0.454500152
## [56,] 0.431918645 0.272715423
## [57,] -0.937574412 0.125006310
## [58,] 1.203820583 1.613617107
## [59,] 0.238595514 -2.372612392
## [60,] -0.765526947 1.041407866
## [61,] 0.819950751 0.219453167
## [62,] -1.195876122 1.103158395
## [63,] -0.837609040 0.564499610
## [64,] 1.574442315 0.561920682
## [65,] -0.667010999 1.063011937
## [66,] 0.319851780 0.254499036
## [67,] 1.232696797 0.012729863
## [68,] -1.589739238 0.437058447
## [69,] 0.201973400 0.571687251
## [70,] -1.014302030 1.362538756
## [71,] -0.522918789 0.178839690
## [72,] -1.195830275 0.296482973
## [73,] 0.825905642 0.742117092
## [74,] 0.896804113 -0.690512175
## [75,] -0.783668630 -0.130993988
## [76,] -0.900222533 -0.137329147
## [77,] 1.395923999 1.420739170
## [78,] -0.759952737 -0.565836047
## [79,] 0.097440833 0.013212895
## [80,] -0.907060219 0.904129818
## [81,] -0.653967405 -0.644557549
## [82,] 0.687397168 -1.187673627
## [83,] 1.269655995 -0.471911216
## [84,] 1.802006238 2.092647290
## [85,] 0.901811505 -0.113757469
## [86,] -1.592268177 1.090635349
## [87,] 0.852301745 2.083037627
## [88,] -1.615713135 -0.314676514
## [89,] 1.290776222 0.609777612
## [90,] 1.454828812 -2.438095683
## [91,] -0.610943075 -1.355307035
## [92,] 1.479207449 1.191746844
## [93,] 0.679481134 -1.992595511
## [94,] 1.419792385 0.380183794
## [95,] 0.750819256 -1.262554991
## [96,] -1.492389844 -0.897397471
## [97,] -0.133580660 1.172198094
## [98,] -1.304479222 -0.223903935
## [99,] -0.842948081 0.369444365
## [100,] -0.799265219 -0.644155840
## [101,] -0.820897489 -0.210544357
## [102,] 1.477874346 1.846425192
## [103,] -0.780741873 0.167097240
## [104,] 0.204827365 -0.508429349
## [105,] -0.894913435 0.779402723
## [106,] 0.899172422 -0.420211082
## [107,] 0.708056115 -0.543330612
## [108,] 1.415928179 -0.768981982
## [109,] 1.524841861 -0.845159703
## [110,] 1.248703530 -1.012776170
## [111,] -1.544161095 0.236759930
## [112,] -0.602366786 0.008195067
## [113,] -0.867195599 -0.100541813
## [114,] -1.393079794 -0.126626591
## [115,] -0.904839913 1.423666023
## [116,] 1.337432528 1.608804178
## [117,] -1.631384091 -0.577160432
## [118,] -0.136898625 -1.398695369
## [119,] -1.099659775 -0.868612272
## [120,] 0.049210969 -0.794717861
## [121,] -1.581552335 1.344362057
## [122,] 0.947306684 0.341410124
## [123,] -0.024534499 -0.346547512
## [124,] 1.098550017 1.353621037
## [125,] -0.687347833 0.912286322
## [126,] 1.340272036 -0.117163395
## [127,] -1.558348156 -1.219057138
## [128,] 0.074258008 -0.792667912
## [129,] -1.113850259 -0.209818838
## [130,] 0.839872418 -0.105558231
## [131,] -0.891635090 -1.506905005
## [132,] -0.409983138 0.222488416
## [133,] 1.556362101 -0.457798415
## [134,] -0.585195495 1.229359353
## [135,] 0.477868144 1.550418777
## [136,] -1.484687915 1.103271533
## [137,] -0.044132641 -0.364097224
## [138,] -1.406290921 -0.116627889
## [139,] 0.468675719 -0.425567279
## [140,] -1.591528575 0.725253748
## [141,] 1.043713109 -1.437764653
## [142,] -1.574869781 0.237115505
## [143,] -0.590365453 -0.067406051
## [144,] 1.199187986 -0.006130022
## [145,] -0.351368991 -0.088772676
## [146,] -1.098182550 0.136206816
## [147,] 0.696523395 -0.362312599
## [148,] 0.942144055 -1.011636900
## [149,] -0.743087537 0.701696498
## [150,] -0.961859688 -0.256940158
## [151,] -0.776103192 1.031073418
## [152,] -0.506261380 -1.383686288
## [153,] 0.687897412 0.601202544
## [154,] -1.320270334 -0.382960241
## [155,] 0.494379216 -0.296462582
## [156,] 0.159407506 0.930874208
## [157,] -0.247528370 -1.258609849
## [158,] -0.822363956 -1.319890413
## [159,] 1.563696533 -1.400206455
## [160,] 0.312643346 0.348387723
## [161,] 1.515844076 -1.941878960
## [162,] 0.793259181 0.327998822
## [163,] -0.208493536 -0.221503746
## [164,] 0.895830490 -0.278682978
## [165,] 1.479177750 1.213988359
## [166,] 0.624290276 1.199260277
## [167,] -0.804137422 -0.223843012
## [168,] 1.147967537 0.593095374
## [169,] 0.181638528 -2.617189941
## [170,] -0.756704421 -0.240200548
## [171,] 0.663243465 -1.276052776
## [172,] -1.158258924 0.774700174
## [173,] -0.901124209 -0.737905580
## [174,] 1.644649301 0.617686689
## [175,] -0.761625247 0.891390379
## [176,] 0.288869408 -0.861950542
## [177,] 1.420064369 1.217621026
## [178,] -1.521344648 0.199624069
## [179,] 0.092950820 -0.725208405
## [180,] -1.020422305 0.791609273
## [181,] -0.612420578 -0.258355397
## [182,] -0.983511286 0.963378853
## [183,] 1.001672996 0.983848735
## [184,] 0.808680745 0.398326300
## [185,] -0.696165617 0.932225869
## [186,] -0.791555776 1.640035883
## [187,] 0.635961987 0.614134846
## [188,] -1.519951542 -1.373762814
## [189,] -0.064780583 0.287890009
## [190,] -0.960326552 -0.229723176
## [191,] 0.675199567 0.188488298
## [192,] 0.500645518 -1.198507956
## [193,] 0.432096190 -1.064246928
## [194,] 0.809016635 -0.443340324
## [195,] 0.895472339 0.595034834
## [196,] -1.410543462 1.842905421
## [197,] 0.930236159 1.797611909
## [198,] -1.582542442 -0.599999642
## [199,] 1.396660387 1.647056697
## [200,] 1.387996337 -2.458461592
## [201,] -0.511034161 -1.322302714
## [202,] 1.569813863 0.071143030
## [203,] 0.867774531 0.001179346
## [204,] 1.411360113 0.997910726
## [205,] 1.003569889 1.541017789
## [206,] -1.447124112 -0.676417176
## [207,] -0.114354509 2.074022736
## [208,] -1.530031501 0.192954216
## [209,] -0.930736167 0.693078793
## [210,] -0.966925707 -0.571961420
## [211,] -1.008596602 -0.450108973
## [212,] 1.462165524 1.479693296
## [213,] -0.711642055 -0.495796788
## [214,] 0.129611131 -0.273410744
## [215,] -1.044150048 -0.139914648
## [216,] 0.910604039 -0.203662899
## [217,] 0.680528356 0.037343310
## [218,] 1.374826723 -1.166428964
## [219,] 1.695035202 1.031092707
## [220,] 0.997373117 1.209505717
## [221,] 1.787788965 -1.419441421
## [222,] 0.222870476 -0.234197330
## [223,] 1.580404025 0.027855979
## [224,] 0.708087319 0.430005779
## [225,] -0.117468237 -1.321767008
## [226,] 0.788168310 -1.072575191
## [227,] 1.352324853 0.722225541
## [228,] 0.721813549 1.894969749
## [229,] -0.871187750 -0.630191296
## [230,] 1.068100703 0.102321621
## [231,] 0.411066313 0.489536182
## [232,] -0.826441690 0.613019578
## [233,] 0.653127208 -0.448779258
## [234,] -1.281265584 0.001873443
## [235,] -0.913780514 1.223028797
## [236,] 1.532803679 0.212224587
## [237,] -0.608269779 -0.020367966
## [238,] 0.193215478 -1.283220882
## [239,] 1.116929314 -1.607687744
## [240,] -0.284080012 1.556786886
## [241,] 1.799428978 0.268185375
## [242,] -0.815691694 -0.257669193
## [243,] 0.689256378 1.494433135
## [244,] 0.003289801 0.453340681
## [245,] 0.022058738 0.371255709
## [246,] -1.255716024 -1.524911408
## [247,] 0.713779201 1.068951726
## [248,] -1.432964347 1.058307421
## [249,] 1.219008667 0.053971092
## [250,] -1.441940680 0.096341407
## [251,] -0.647726368 0.351998978
## [252,] 1.221629490 0.155486329
## [253,] 1.004346534 -0.398843346
## [254,] -1.010520260 0.320529828
## [255,] 0.859248834 1.689483073
## [256,] 0.982496275 0.938522406
## [257,] -0.756284788 -0.239624544
## [258,] -0.825355980 0.210558338
## [259,] -0.728426560 1.318839521
## [260,] -0.459450834 -1.838859056
## [261,] 0.501658018 -0.773651327
## [262,] -0.623326308 -3.385928741
## [263,] -0.841042565 1.302386243
## [264,] 1.506322001 1.426067577
## [265,] -1.529429293 0.612798144
## [266,] 0.008993596 -0.606753228
## [267,] -1.020394451 -1.016196245
## [268,] 0.785084682 -0.459704624
## [269,] 0.264611123 -0.672717755
## [270,] 0.694337466 -0.404444687
## [271,] -0.560320121 0.197413944
## [272,] -0.754895164 0.041735962
## [273,] -0.807723390 0.140018642
## [274,] 1.322424565 -0.029776765
## [275,] 0.754197700 -0.051482194
## [276,] 0.087440778 -0.247584023
## [277,] 0.385652455 0.418955170
## [278,] 1.147363226 2.063924901
## [279,] 0.861661575 0.939927579
## [280,] -0.293282015 0.008659716
## [281,] 1.551038447 -0.563766005
## [282,] -0.606047510 -1.143422080
## [283,] -1.484263120 -1.192859501
## [284,] -1.451217353 0.342268573
## [285,] 0.014911301 -0.732308021
## [286,] -0.940601893 -0.367565711
## [287,] 0.864651807 -0.052362556
## [288,] -0.986349503 -1.415224964
## [289,] -0.403385262 0.257619317
## [290,] 1.612819345 -0.450862078
## [291,] -0.697188015 1.207808189
## [292,] 0.613465170 1.500448332
## [293,] -1.465981323 1.093224529
## [294,] -0.063401807 -0.468682322
## [295,] -1.420655976 -0.096185479
## [296,] 0.742284438 -0.549278029
## [297,] -1.504370017 0.734525430
## [298,] 1.109029964 -1.459187598
## [299,] -1.607175898 0.303124662
## [300,] -0.663148272 0.004574551
## [301,] 1.154655776 0.038972855
## [302,] -0.515291666 0.002738519
## [303,] -1.136567331 0.167460131
## [304,] 0.706106083 -0.355031420
## [305,] 0.810724080 -0.971865049
## [306,] -0.564183229 0.629725882
## [307,] -0.862513144 -0.286160759
## [308,] -0.771736720 1.041498229
## [309,] -0.521984581 -1.458868748
# Play with FA utilities
fa.parallel(data[-1]) # See factor recommendation
## Parallel analysis suggests that the number of factors = 5 and the number of components = 5
# Parallel analysis in scree plots is used to help determine the optimal number of factors/components to retain in a factor analysis by comparing the eigenvalues obtained from the data to those obtained from randomly generated data sets. Here the ideal number of factors to be considered are 7.
fa.plot(fit.pc) # See Correlations within Factors
fa.diagram(fit.pc) # Visualize the relationship
vss(data[-1]) # See Factor recommendations for a simple structure
##
## Very Simple Structure
## Call: vss(x = data[-1])
## VSS complexity 1 achieves a maximimum of 0.59 with 8 factors
## VSS complexity 2 achieves a maximimum of 0.71 with 8 factors
##
## The Velicer MAP achieves a minimum of 0.02 with 2 factors
## BIC achieves a minimum of -175.01 with 4 factors
## Sample Size adjusted BIC achieves a minimum of -13.62 with 7 factors
##
## Statistics by number of factors
## vss1 vss2 map dof chisq prob sqresid fit RMSEA BIC SABIC complex
## 1 0.31 0.00 0.024 119 681 1.1e-79 16.8 0.31 0.124 -1.1 376.4 1.0
## 2 0.38 0.45 0.024 103 474 6.8e-49 13.4 0.45 0.108 -116.9 209.7 1.3
## 3 0.45 0.53 0.029 88 371 2.0e-36 11.0 0.55 0.102 -133.5 145.6 1.5
## 4 0.50 0.59 0.030 74 249 7.8e-21 8.9 0.63 0.087 -175.0 59.7 1.5
## 5 0.53 0.63 0.035 61 179 1.4e-13 7.6 0.69 0.079 -170.5 23.0 1.6
## 6 0.55 0.64 0.044 49 124 1.7e-08 6.7 0.73 0.071 -156.5 -1.1 1.6
## 7 0.57 0.69 0.054 38 84 2.7e-05 5.6 0.77 0.062 -134.1 -13.6 1.6
## 8 0.59 0.71 0.069 28 62 2.0e-04 5.0 0.79 0.063 -98.1 -9.3 1.6
## eChisq SRMR eCRMS eBIC
## 1 1087 0.114 0.122 405
## 2 648 0.088 0.101 57
## 3 422 0.071 0.088 -82
## 4 233 0.053 0.071 -191
## 5 134 0.040 0.060 -216
## 6 83 0.031 0.052 -198
## 7 45 0.023 0.044 -173
## 8 30 0.019 0.041 -131
# Computing Correlation Matrix
corrm.emp <- cor(data[-1])
corrm.emp
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 1.00000000 -0.021306438 0.036276853 0.2129594615
## AGE -0.02130644 1.000000000 0.084474561 0.0052048719
## SMOKING 0.03627685 0.084474561 1.000000000 0.0145848660
## YELLOW_FINGERS 0.21295946 0.005204872 0.014584866 1.0000000000
## ANXIETY 0.15212660 0.053170355 -0.160266983 0.5658292926
## PEER_PRESSURE 0.27556432 0.018685137 0.042822324 0.3230832379
## CHRONIC_DISEASE 0.20460564 -0.012642128 0.141522309 0.0411221768
## FATIGUE 0.08356045 0.012614462 0.029575460 -0.1180579217
## ALLERGY -0.15425095 0.027990485 -0.001912698 -0.1442995270
## WHEEZING -0.14120674 0.055011347 0.129425926 -0.0785152929
## ALCOHOL_CONSUMING -0.45426780 0.058985003 0.050622751 -0.2890248419
## COUGHING -0.13330259 0.169950348 0.129471065 -0.0126398427
## SHORTNESS_OF_BREATH 0.06491069 -0.017512737 -0.061263759 -0.1059442844
## SWALLOWING_DIFFICULTY 0.07816113 -0.001269878 -0.030717735 0.3459037723
## CHEST_PAIN -0.36295832 -0.018103926 -0.120117461 -0.1048289865
## WEIGHT -0.01081768 -0.028273444 0.154135563 0.0006496653
## HEIGHT_INCH 0.05801867 -0.064562763 0.078120669 0.1066096672
## ANXIETY PEER_PRESSURE CHRONIC_DISEASE FATIGUE
## GENDER 0.152126604 0.27556432 0.204605643 0.083560450
## AGE 0.053170355 0.01868514 -0.012642128 0.012614462
## SMOKING -0.160266983 0.04282232 0.141522309 0.029575460
## YELLOW_FINGERS 0.565829293 0.32308324 0.041122177 -0.118057922
## ANXIETY 1.000000000 0.21684122 -0.009677825 -0.188538334
## PEER_PRESSURE 0.216841223 1.00000000 0.048514810 0.078148291
## CHRONIC_DISEASE -0.009677825 0.04851481 1.000000000 -0.110528642
## FATIGUE -0.188538334 0.07814829 -0.110528642 1.000000000
## ALLERGY -0.165749538 -0.08179957 0.106386061 0.003056272
## WHEEZING -0.191807339 -0.06877067 -0.049967294 0.141936883
## ALCOHOL_CONSUMING -0.165749538 -0.15997297 0.002150491 -0.191376583
## COUGHING -0.225644074 -0.08901867 -0.175286710 0.146856016
## SHORTNESS_OF_BREATH -0.144076665 -0.22017534 -0.026458823 0.441744642
## SWALLOWING_DIFFICULTY 0.489402762 0.36659037 0.075176421 -0.132790075
## CHEST_PAIN -0.113633937 -0.09482847 -0.036937848 -0.010831789
## WEIGHT -0.049650071 0.06965455 0.060051327 -0.006639779
## HEIGHT_INCH 0.020927415 0.07121714 0.041034424 0.056616534
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.154250955 -0.14120674 -0.454267796 -0.133302586
## AGE 0.027990485 0.05501135 0.058985003 0.169950348
## SMOKING -0.001912698 0.12942593 0.050622751 0.129471065
## YELLOW_FINGERS -0.144299527 -0.07851529 -0.289024842 -0.012639843
## ANXIETY -0.165749538 -0.19180734 -0.165749538 -0.225644074
## PEER_PRESSURE -0.081799569 -0.06877067 -0.159972971 -0.089018666
## CHRONIC_DISEASE 0.106386061 -0.04996729 0.002150491 -0.175286710
## FATIGUE 0.003056272 0.14193688 -0.191376583 0.146856016
## ALLERGY 1.000000000 0.17386692 0.344338822 0.189524168
## WHEEZING 0.173866916 1.00000000 0.265659481 0.374265392
## ALCOHOL_CONSUMING 0.344338822 0.26565948 1.000000000 0.202719970
## COUGHING 0.189524168 0.37426539 0.202719970 1.000000000
## SHORTNESS_OF_BREATH -0.030056438 0.03783420 -0.179415842 0.277385025
## SWALLOWING_DIFFICULTY -0.061507906 0.06902742 -0.009293777 -0.157586304
## CHEST_PAIN 0.239433033 0.14764047 0.331225598 0.083957755
## WEIGHT 0.077882001 0.04328427 -0.019123443 -0.007002533
## HEIGHT_INCH 0.055331790 0.01446635 -0.015407769 -0.020782350
## SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY CHEST_PAIN
## GENDER 0.06491069 0.078161133 -0.36295832
## AGE -0.01751274 -0.001269878 -0.01810393
## SMOKING -0.06126376 -0.030717735 -0.12011746
## YELLOW_FINGERS -0.10594428 0.345903772 -0.10482899
## ANXIETY -0.14407666 0.489402762 -0.11363394
## PEER_PRESSURE -0.22017534 0.366590371 -0.09482847
## CHRONIC_DISEASE -0.02645882 0.075176421 -0.03693785
## FATIGUE 0.44174464 -0.132790075 -0.01083179
## ALLERGY -0.03005644 -0.061507906 0.23943303
## WHEEZING 0.03783420 0.069027417 0.14764047
## ALCOHOL_CONSUMING -0.17941584 -0.009293777 0.33122560
## COUGHING 0.27738502 -0.157586304 0.08395775
## SHORTNESS_OF_BREATH 1.00000000 -0.161014804 0.02425607
## SWALLOWING_DIFFICULTY -0.16101480 1.000000000 0.06902742
## CHEST_PAIN 0.02425607 0.069027417 1.00000000
## WEIGHT 0.01157763 0.050877795 0.06284525
## HEIGHT_INCH -0.04671399 0.092938786 0.09940380
## WEIGHT HEIGHT_INCH
## GENDER -0.0108176806 0.05801867
## AGE -0.0282734442 -0.06456276
## SMOKING 0.1541355630 0.07812067
## YELLOW_FINGERS 0.0006496653 0.10660967
## ANXIETY -0.0496500708 0.02092741
## PEER_PRESSURE 0.0696545532 0.07121714
## CHRONIC_DISEASE 0.0600513268 0.04103442
## FATIGUE -0.0066397795 0.05661653
## ALLERGY 0.0778820013 0.05533179
## WHEEZING 0.0432842670 0.01446635
## ALCOHOL_CONSUMING -0.0191234431 -0.01540777
## COUGHING -0.0070025333 -0.02078235
## SHORTNESS_OF_BREATH 0.0115776346 -0.04671399
## SWALLOWING_DIFFICULTY 0.0508777954 0.09293879
## CHEST_PAIN 0.0628452516 0.09940380
## WEIGHT 1.0000000000 0.49244436
## HEIGHT_INCH 0.4924443557 1.00000000
plot(corrm.emp)
data_pca <- prcomp(data[-1], scale=TRUE)
summary(data_pca)
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
plot(data_pca)
# A table containing eigenvalues and %'s accounted, follows. Eigenvalues are the sdev^2
(eigen_data <- round(data_pca$sdev^2,3))
## [1] 2.865 1.958 1.689 1.473 1.304 1.072 0.954 0.891 0.816 0.714 0.633 0.586
## [13] 0.531 0.516 0.404 0.319 0.277
round(fit.pc$values, 3)
## [1] 2.865 1.958 1.689 1.473 1.304 1.072 0.954 0.891 0.816 0.714 0.633 0.586
## [13] 0.531 0.516 0.404 0.319 0.277
names(eigen_data) <- paste("PC",1:17,sep="")
eigen_data
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11 PC12 PC13
## 2.865 1.958 1.689 1.473 1.304 1.072 0.954 0.891 0.816 0.714 0.633 0.586 0.531
## PC14 PC15 PC16 PC17
## 0.516 0.404 0.319 0.277
sumlambdas <- sum(eigen_data)
sumlambdas
## [1] 17.002
propvar <- round(eigen_data/sumlambdas,2)
propvar
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## 0.17 0.12 0.10 0.09 0.08 0.06 0.06 0.05 0.05 0.04 0.04 0.03 0.03 0.03 0.02 0.02
## PC17
## 0.02
cumvar_data <- cumsum(propvar)
cumvar_data
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## 0.17 0.29 0.39 0.48 0.56 0.62 0.68 0.73 0.78 0.82 0.86 0.89 0.92 0.95 0.97 0.99
## PC17
## 1.01
matlambdas <- rbind(eigen_data,propvar,cumvar_data)
matlambdas
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11
## eigen_data 2.865 1.958 1.689 1.473 1.304 1.072 0.954 0.891 0.816 0.714 0.633
## propvar 0.170 0.120 0.100 0.090 0.080 0.060 0.060 0.050 0.050 0.040 0.040
## cumvar_data 0.170 0.290 0.390 0.480 0.560 0.620 0.680 0.730 0.780 0.820 0.860
## PC12 PC13 PC14 PC15 PC16 PC17
## eigen_data 0.586 0.531 0.516 0.404 0.319 0.277
## propvar 0.030 0.030 0.030 0.020 0.020 0.020
## cumvar_data 0.890 0.920 0.950 0.970 0.990 1.010
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
rownames(matlambdas)
## [1] "Eigenvalues" "Prop. variance" "Cum. prop. variance"
eigvec.emp <- data_pca$rotation
print(data_pca)
## Standard deviations (1, .., p=17):
## [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
## [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
##
## Rotation (n x k) = (17 x 17):
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING -0.0430283442 0.003424731 0.31567559 -0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC_DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS_OF_BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING_DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST_PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING 0.52742230 0.22454151 -0.15463295 0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC_DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS_OF_BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING_DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST_PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING -0.339753798 0.456246291 0.21657468 0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC_DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS_OF_BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING_DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST_PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING -0.17075516 0.24864171 0.03445354 0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC_DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS_OF_BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING_DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST_PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING -0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC_DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS_OF_BREATH -0.11319831
## SWALLOWING_DIFFICULTY 0.30009780
## CHEST_PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
# Taking the first four PCs to generate linear combinations for all the variables with four factors
pcafactors.emp <- eigvec.emp[,1:7]
pcafactors.emp
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING -0.0430283442 0.003424731 0.31567559 -0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC_DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS_OF_BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING_DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST_PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7
## GENDER 0.20073240 -0.24182352 0.01184223
## AGE 0.33787243 0.23970537 0.59890223
## SMOKING 0.52742230 0.22454151 -0.15463295
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817
## ANXIETY -0.14203498 0.02100195 0.25209607
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983
## CHRONIC_DISEASE 0.34336849 -0.58708763 0.27268807
## FATIGUE -0.19343265 -0.19872006 -0.17492007
## ALLERGY 0.06195362 -0.42347967 0.18154792
## WHEEZING 0.15239622 -0.07376779 -0.30344915
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458
## COUGHING 0.13819136 0.11156157 0.09656026
## SHORTNESS_OF_BREATH -0.26321037 -0.22493715 0.29003504
## SWALLOWING_DIFFICULTY -0.08485041 -0.18711304 -0.12109907
## CHEST_PAIN -0.36362550 -0.22121918 0.06275957
## WEIGHT -0.18496760 0.24504959 0.13211070
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979
# Multiplying each column of the eigenvector’s matrix by the square-root of the corresponding eigenvalue in order to get the factor loadings
unrot.fact.emp <- sweep(pcafactors.emp,MARGIN=2,data_pca$sdev[1:7],`*`)
unrot.fact.emp
## PC1 PC2 PC3 PC4
## GENDER 0.543374530 -0.401383018 0.22584419 -0.08782501
## AGE -0.061717118 0.043087109 0.06093188 0.33908718
## SMOKING -0.072825689 0.004791661 0.41020928 -0.13047242
## YELLOW_FINGERS 0.645650022 0.179236082 0.18001531 0.35663511
## ANXIETY 0.682642622 0.287582941 -0.09705991 0.31930178
## PEER_PRESSURE 0.519437569 0.148012887 0.28997708 0.18320288
## CHRONIC_DISEASE 0.152774675 0.092837896 0.13735453 -0.39109300
## FATIGUE -0.173397073 -0.547267624 0.38965007 0.24424716
## ALLERGY -0.422027400 0.335364958 0.15946442 -0.02618371
## WHEEZING -0.413412784 0.174247914 0.34731586 0.39517978
## ALCOHOL_CONSUMING -0.562172923 0.578519071 -0.10998537 0.03867426
## COUGHING -0.472582236 -0.082191446 0.32435826 0.52055504
## SHORTNESS_OF_BREATH -0.239886844 -0.594193680 0.23190689 0.22704683
## SWALLOWING_DIFFICULTY 0.495127709 0.480776946 0.15405841 0.30767351
## CHEST_PAIN -0.395322853 0.443414767 0.03449271 0.08180231
## WEIGHT -0.000535096 0.193157814 0.64614121 -0.40075381
## HEIGHT_INCH 0.082162580 0.217534023 0.63988039 -0.33864455
## PC5 PC6 PC7
## GENDER 0.22918608 -0.25036659 0.01156872
## AGE 0.38576562 0.24817361 0.58506968
## SMOKING 0.60218404 0.23247405 -0.15106147
## YELLOW_FINGERS -0.02774191 0.04128444 0.14435524
## ANXIETY -0.16216833 0.02174391 0.24627354
## PEER_PRESSURE 0.11267604 -0.13705473 -0.38763515
## CHRONIC_DISEASE 0.39204073 -0.60782810 0.26638993
## FATIGUE -0.22085159 -0.20574039 -0.17088003
## ALLERGY 0.07073550 -0.43844025 0.17735480
## WHEEZING 0.17399828 -0.07637384 -0.29644054
## ALCOHOL_CONSUMING 0.12519000 -0.04740074 -0.04854681
## COUGHING 0.15777989 0.11550278 0.09433005
## SHORTNESS_OF_BREATH -0.30052025 -0.23288367 0.28333624
## SWALLOWING_DIFFICULTY -0.09687790 -0.19372331 -0.11830211
## CHEST_PAIN -0.41516916 -0.22903435 0.06131004
## WEIGHT -0.21118663 0.25370663 0.12905941
## HEIGHT_INCH -0.32385202 0.19647538 0.10904177
# Computing communalities
communalities.emp <- rowSums(unrot.fact.emp^2)
communalities.emp
## GENDER AGE SMOKING
## 0.6304266 0.6770701 0.6301106
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 0.6318961 0.7475012 0.5911141
## CHRONIC_DISEASE FATIGUE ALLERGY
## 0.7978935 0.6613568 0.5453794
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 0.6020532 0.6845913 0.6534088
## SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY CHEST_PAIN
## 0.7407695 0.6556043 0.5893593
## WEIGHT HEIGHT_INCH
## 0.7410355 0.7335716
# Performing the varimax rotation. The default in the varimax function is norm=TRUE thus, Kaiser normalization is carried out
rot.fact.emp <- varimax(unrot.fact.emp)
#View(unrot.fact.emp)
rot.fact.emp
## $loadings
##
## Loadings:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## GENDER 0.238 -0.209 0.608 -0.391
## AGE 0.812
## SMOKING -0.146 0.229 0.223 0.605 0.300 -0.163 0.154
## YELLOW_FINGERS 0.739 0.202 0.182
## ANXIETY 0.752 0.124 -0.349 0.180
## PEER_PRESSURE 0.594 0.293 0.241 -0.289
## CHRONIC_DISEASE -0.886
## FATIGUE -0.747 0.231 0.111 -0.167
## ALLERGY 0.162 -0.568 -0.421
## WHEEZING -0.155 0.681 -0.325
## ALCOHOL_CONSUMING -0.178 0.333 0.276 -0.674
## COUGHING -0.354 0.517 -0.212 0.178 0.421
## SHORTNESS_OF_BREATH -0.174 -0.823 -0.104 0.147
## SWALLOWING_DIFFICULTY 0.775 0.122 -0.135 -0.123
## CHEST_PAIN 0.117 -0.744
## WEIGHT 0.857
## HEIGHT_INCH 0.105 0.845
##
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## SS loadings 2.242 1.646 1.536 1.499 2.084 1.204 1.104
## Proportion Var 0.132 0.097 0.090 0.088 0.123 0.071 0.065
## Cumulative Var 0.132 0.229 0.319 0.407 0.530 0.601 0.665
##
## $rotmat
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.70815628 0.1699665 0.04580533 -0.31954248 0.58522523 -0.10011041
## [2,] 0.39609235 0.6252274 0.19449972 0.08889326 -0.63442845 -0.06041631
## [3,] 0.19809174 -0.3742450 0.72472125 0.50604385 0.06650229 -0.18126731
## [4,] 0.50904583 -0.3693835 -0.46089827 0.31168727 -0.16948204 0.37431575
## [5,] -0.12631412 0.4006414 -0.30071113 0.54231982 0.35115658 -0.43405319
## [6,] -0.16382089 0.3545694 0.32220784 0.06024877 0.29351376 0.73731900
## [7,] -0.02156387 -0.1321573 0.16786469 -0.48889729 -0.11137317 -0.28515993
## [,7]
## [1,] -0.11362166
## [2,] 0.01788165
## [3,] 0.04602938
## [4,] 0.35498673
## [5,] 0.35676335
## [6,] 0.33197262
## [7,] 0.78813081
# The print method of varimax omits loadings less than abs(0.1). In order to display all the loadings, it is necessary to ask explicitly the contents of the object $loadings
fact.load.emp <- rot.fact.emp$loadings[1:17,1:7]
fact.load.emp
## PC1 PC2 PC3 PC4
## GENDER 0.23765663 -0.209159915 0.0033261366 -0.01884640
## AGE 0.05604210 0.033619981 -0.0444005987 0.09819627
## SMOKING -0.14572238 0.228945489 0.2234816958 0.60505029
## YELLOW_FINGERS 0.73904640 0.007143313 0.0764006060 -0.07125801
## ANXIETY 0.75225097 0.124402050 -0.0331910366 -0.34920292
## PEER_PRESSURE 0.59374924 0.052410233 0.0351828377 0.29338095
## CHRONIC_DISEASE 0.01739553 0.083415576 0.0358321430 -0.04720338
## FATIGUE -0.07275521 -0.746532380 0.0268653287 0.23144306
## ALLERGY -0.08869966 -0.062614741 0.0407643367 0.16243972
## WHEEZING 0.04314803 -0.155467975 -0.0421692024 0.68121223
## ALCOHOL_CONSUMING -0.17806070 0.332796520 -0.0718305634 0.27623302
## COUGHING -0.07886413 -0.353684875 -0.0368821757 0.51650207
## SHORTNESS_OF_BREATH -0.17371553 -0.823355508 -0.0002412482 -0.10357448
## SWALLOWING_DIFFICULTY 0.77472151 0.121577811 0.0328880238 0.05200891
## CHEST_PAIN 0.03279694 -0.088726836 0.1167723267 -0.06023722
## WEIGHT -0.01754703 0.015183692 0.8574405826 0.05706536
## HEIGHT_INCH 0.10508588 -0.038904241 0.8448854669 -0.00576498
## PC5 PC6 PC7
## GENDER 0.608254923 -0.391337749 -0.0819297480
## AGE 0.026274259 -0.031842028 0.8120842984
## SMOKING 0.300252608 -0.163089995 0.1538819759
## YELLOW_FINGERS 0.201964885 0.026715113 0.1823107522
## ANXIETY 0.078485650 0.067593675 0.1799181806
## PEER_PRESSURE 0.240830561 -0.084353585 -0.2887975316
## CHRONIC_DISEASE 0.035519303 -0.886486884 -0.0001753085
## FATIGUE 0.111333251 0.064110653 -0.1672122736
## ALLERGY -0.568305310 -0.421266614 0.0714579660
## WHEEZING -0.324666611 0.068521079 0.0094470657
## ALCOHOL_CONSUMING -0.674440271 -0.019704464 0.0735524063
## COUGHING -0.212275352 0.178110887 0.4209242675
## SHORTNESS_OF_BREATH 0.008087243 -0.019199701 0.1466847304
## SWALLOWING_DIFFICULTY -0.134861337 -0.058423617 -0.1234597788
## CHEST_PAIN -0.744080438 0.031004891 -0.0923573052
## WEIGHT -0.026034468 -0.036822680 0.0015896778
## HEIGHT_INCH -0.058177346 -0.009777632 -0.0605815125
# Computing the rotated factor scores for the 30 European Countries. Notice that signs are reversed for factors F2 (PC2), F3 (PC3) and F4 (PC4)
scale.emp <- scale(data[-1])
scale.emp
## GENDER AGE SMOKING YELLOW_FINGERS ANXIETY
## [1,] -0.9510367 0.77060032 1.1334539 0.8678918 1.0016168
## [2,] -0.9510367 1.37959136 -0.8794039 -1.1484884 -0.9951548
## [3,] 1.0480813 -0.44738177 1.1334539 -1.1484884 -0.9951548
## [4,] -0.9510367 0.03981106 -0.8794039 0.8678918 1.0016168
## [5,] 1.0480813 0.03981106 1.1334539 0.8678918 -0.9951548
## [6,] 1.0480813 1.50138957 1.1334539 0.8678918 -0.9951548
## [7,] -0.9510367 -1.29996923 -0.8794039 -1.1484884 -0.9951548
## [8,] 1.0480813 -1.42176744 -0.8794039 0.8678918 1.0016168
## [9,] 1.0480813 0.64880211 -0.8794039 -1.1484884 1.0016168
## [10,] -0.9510367 -1.17817102 -0.8794039 0.8678918 1.0016168
## [11,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [12,] -0.9510367 1.13599494 1.1334539 -1.1484884 -0.9951548
## [13,] 1.0480813 -0.32558356 -0.8794039 -1.1484884 -0.9951548
## [14,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [15,] -0.9510367 0.77060032 -0.8794039 -1.1484884 -0.9951548
## [16,] 1.0480813 -1.78716206 1.1334539 0.8678918 1.0016168
## [17,] -0.9510367 1.50138957 -0.8794039 -1.1484884 -0.9951548
## [18,] -0.9510367 -0.69097819 -0.8794039 0.8678918 1.0016168
## [19,] 1.0480813 0.64880211 -0.8794039 0.8678918 1.0016168
## [20,] 1.0480813 -0.20378535 1.1334539 -1.1484884 -0.9951548
## [21,] 1.0480813 -2.27435490 -0.8794039 0.8678918 1.0016168
## [22,] 1.0480813 0.16160927 1.1334539 0.8678918 1.0016168
## [23,] 1.0480813 -5.07571369 -0.8794039 -1.1484884 -0.9951548
## [24,] -0.9510367 -0.32558356 -0.8794039 -1.1484884 -0.9951548
## [25,] -0.9510367 1.13599494 -0.8794039 0.8678918 1.0016168
## [26,] -0.9510367 0.28340748 1.1334539 0.8678918 1.0016168
## [27,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [28,] -0.9510367 0.77060032 1.1334539 -1.1484884 -0.9951548
## [29,] 1.0480813 -1.17817102 -0.8794039 0.8678918 1.0016168
## [30,] -0.9510367 -0.93457460 1.1334539 0.8678918 -0.9951548
## [31,] 1.0480813 -0.69097819 -0.8794039 0.8678918 -0.9951548
## [32,] -0.9510367 -0.08198714 -0.8794039 -1.1484884 1.0016168
## [33,] -0.9510367 -0.81277639 -0.8794039 0.8678918 1.0016168
## [34,] 1.0480813 0.52700390 -0.8794039 0.8678918 1.0016168
## [35,] -0.9510367 -0.44738177 1.1334539 0.8678918 1.0016168
## [36,] 1.0480813 -0.44738177 -0.8794039 0.8678918 1.0016168
## [37,] -0.9510367 -0.32558356 1.1334539 0.8678918 -0.9951548
## [38,] 1.0480813 -0.81277639 1.1334539 -1.1484884 -0.9951548
## [39,] -0.9510367 -0.81277639 -0.8794039 -1.1484884 -0.9951548
## [40,] -0.9510367 -0.32558356 -0.8794039 -1.1484884 -0.9951548
## [41,] -0.9510367 0.64880211 -0.8794039 -1.1484884 1.0016168
## [42,] -0.9510367 0.03981106 1.1334539 -1.1484884 -0.9951548
## [43,] 1.0480813 1.74498598 1.1334539 0.8678918 1.0016168
## [44,] -0.9510367 -1.29996923 -0.8794039 -1.1484884 -0.9951548
## [45,] 1.0480813 0.89239852 -0.8794039 0.8678918 -0.9951548
## [46,] -0.9510367 1.13599494 -0.8794039 0.8678918 1.0016168
## [47,] -0.9510367 -0.08198714 -0.8794039 0.8678918 -0.9951548
## [48,] 1.0480813 0.16160927 -0.8794039 0.8678918 -0.9951548
## [49,] 1.0480813 0.89239852 1.1334539 -1.1484884 1.0016168
## [50,] -0.9510367 -0.32558356 1.1334539 -1.1484884 1.0016168
## [51,] 1.0480813 -0.81277639 1.1334539 -1.1484884 -0.9951548
## [52,] -0.9510367 0.03981106 -0.8794039 0.8678918 1.0016168
## [53,] 1.0480813 -1.05637281 -0.8794039 -1.1484884 -0.9951548
## [54,] -0.9510367 -1.66536385 -0.8794039 -1.1484884 -0.9951548
## [55,] 1.0480813 -0.69097819 1.1334539 0.8678918 -0.9951548
## [56,] -0.9510367 -1.29996923 1.1334539 0.8678918 1.0016168
## [57,] 1.0480813 0.03981106 1.1334539 0.8678918 -0.9951548
## [58,] -0.9510367 1.25779315 1.1334539 -1.1484884 -0.9951548
## [59,] -0.9510367 -1.90896027 1.1334539 0.8678918 -0.9951548
## [60,] -0.9510367 0.77060032 -0.8794039 0.8678918 1.0016168
## [61,] -0.9510367 0.89239852 1.1334539 0.8678918 -0.9951548
## [62,] 1.0480813 -0.32558356 1.1334539 0.8678918 1.0016168
## [63,] -0.9510367 0.89239852 1.1334539 0.8678918 -0.9951548
## [64,] 1.0480813 0.64880211 1.1334539 -1.1484884 1.0016168
## [65,] -0.9510367 1.37959136 1.1334539 0.8678918 -0.9951548
## [66,] 1.0480813 1.01419673 -0.8794039 0.8678918 1.0016168
## [67,] 1.0480813 -0.81277639 1.1334539 0.8678918 -0.9951548
## [68,] -0.9510367 0.40520569 -0.8794039 -1.1484884 -0.9951548
## [69,] 1.0480813 1.62318777 -0.8794039 0.8678918 1.0016168
## [70,] 1.0480813 1.86678419 -0.8794039 0.8678918 1.0016168
## [71,] -0.9510367 0.64880211 -0.8794039 0.8678918 1.0016168
## [72,] 1.0480813 0.40520569 -0.8794039 0.8678918 1.0016168
## [73,] -0.9510367 0.52700390 1.1334539 -1.1484884 -0.9951548
## [74,] 1.0480813 -0.32558356 -0.8794039 -1.1484884 -0.9951548
## [75,] -0.9510367 -0.20378535 -0.8794039 -1.1484884 -0.9951548
## [76,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [77,] 1.0480813 1.62318777 1.1334539 0.8678918 1.0016168
## [78,] -0.9510367 -0.81277639 -0.8794039 -1.1484884 -0.9951548
## [79,] -0.9510367 0.52700390 -0.8794039 0.8678918 1.0016168
## [80,] 1.0480813 1.25779315 -0.8794039 0.8678918 1.0016168
## [81,] 1.0480813 -0.56917998 1.1334539 -1.1484884 -0.9951548
## [82,] 1.0480813 -1.05637281 -0.8794039 0.8678918 1.0016168
## [83,] 1.0480813 -0.08198714 -0.8794039 0.8678918 1.0016168
## [84,] 1.0480813 2.23217882 1.1334539 -1.1484884 -0.9951548
## [85,] -0.9510367 -0.81277639 1.1334539 -1.1484884 -0.9951548
## [86,] -0.9510367 -0.32558356 1.1334539 0.8678918 1.0016168
## [87,] -0.9510367 0.40520569 1.1334539 0.8678918 1.0016168
## [88,] -0.9510367 -0.08198714 1.1334539 0.8678918 1.0016168
## [89,] 1.0480813 -0.08198714 -0.8794039 0.8678918 1.0016168
## [90,] 1.0480813 -0.93457460 -0.8794039 -1.1484884 -0.9951548
## [91,] 1.0480813 -0.08198714 1.1334539 -1.1484884 -0.9951548
## [92,] 1.0480813 1.01419673 1.1334539 -1.1484884 -0.9951548
## [93,] -0.9510367 -1.29996923 -0.8794039 -1.1484884 -0.9951548
## [94,] 1.0480813 -0.44738177 1.1334539 0.8678918 1.0016168
## [95,] -0.9510367 -1.78716206 -0.8794039 -1.1484884 -0.9951548
## [96,] -0.9510367 -0.32558356 1.1334539 0.8678918 1.0016168
## [97,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [98,] -0.9510367 -0.44738177 -0.8794039 -1.1484884 -0.9951548
## [99,] -0.9510367 0.16160927 1.1334539 0.8678918 1.0016168
## [100,] -0.9510367 -0.81277639 -0.8794039 -1.1484884 -0.9951548
## [101,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [102,] 1.0480813 2.23217882 1.1334539 0.8678918 1.0016168
## [103,] -0.9510367 0.16160927 -0.8794039 -1.1484884 -0.9951548
## [104,] -0.9510367 -0.08198714 -0.8794039 0.8678918 1.0016168
## [105,] 1.0480813 1.13599494 -0.8794039 0.8678918 1.0016168
## [106,] 1.0480813 -0.32558356 1.1334539 -1.1484884 -0.9951548
## [107,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [108,] 1.0480813 -0.32558356 -0.8794039 0.8678918 1.0016168
## [109,] 1.0480813 -1.66536385 1.1334539 -1.1484884 -0.9951548
## [110,] -0.9510367 -1.17817102 1.1334539 -1.1484884 -0.9951548
## [111,] -0.9510367 -0.56917998 1.1334539 0.8678918 1.0016168
## [112,] -0.9510367 -0.20378535 -0.8794039 0.8678918 1.0016168
## [113,] 1.0480813 0.64880211 1.1334539 -1.1484884 -0.9951548
## [114,] -0.9510367 -0.32558356 -0.8794039 0.8678918 1.0016168
## [115,] 1.0480813 1.13599494 1.1334539 0.8678918 -0.9951548
## [116,] 1.0480813 1.13599494 1.1334539 0.8678918 -0.9951548
## [117,] -0.9510367 -0.69097819 -0.8794039 -1.1484884 -0.9951548
## [118,] 1.0480813 -1.42176744 -0.8794039 0.8678918 1.0016168
## [119,] 1.0480813 -1.05637281 -0.8794039 0.8678918 1.0016168
## [120,] 1.0480813 -0.81277639 1.1334539 0.8678918 1.0016168
## [121,] -0.9510367 1.74498598 -0.8794039 0.8678918 1.0016168
## [122,] -0.9510367 0.16160927 1.1334539 -1.1484884 -0.9951548
## [123,] -0.9510367 -0.69097819 -0.8794039 -1.1484884 1.0016168
## [124,] 1.0480813 0.40520569 -0.8794039 0.8678918 1.0016168
## [125,] -0.9510367 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [126,] 1.0480813 -1.17817102 1.1334539 0.8678918 1.0016168
## [127,] -0.9510367 -1.42176744 -0.8794039 -1.1484884 -0.9951548
## [128,] -0.9510367 -0.56917998 -0.8794039 0.8678918 1.0016168
## [129,] 1.0480813 -0.56917998 -0.8794039 0.8678918 1.0016168
## [130,] 1.0480813 0.03981106 1.1334539 -1.1484884 -0.9951548
## [131,] 1.0480813 -1.42176744 -0.8794039 0.8678918 1.0016168
## [132,] 1.0480813 -0.20378535 1.1334539 0.8678918 1.0016168
## [133,] 1.0480813 -0.20378535 -0.8794039 -1.1484884 -0.9951548
## [134,] -0.9510367 1.62318777 -0.8794039 -1.1484884 -0.9951548
## [135,] -0.9510367 1.01419673 -0.8794039 0.8678918 1.0016168
## [136,] -0.9510367 0.77060032 1.1334539 -1.1484884 1.0016168
## [137,] 1.0480813 -0.81277639 -0.8794039 0.8678918 1.0016168
## [138,] -0.9510367 0.52700390 1.1334539 -1.1484884 -0.9951548
## [139,] 1.0480813 -1.05637281 -0.8794039 0.8678918 1.0016168
## [140,] -0.9510367 0.03981106 1.1334539 0.8678918 -0.9951548
## [141,] 1.0480813 -1.90896027 -0.8794039 0.8678918 -0.9951548
## [142,] -0.9510367 -0.08198714 -0.8794039 -1.1484884 1.0016168
## [143,] -0.9510367 0.28340748 -0.8794039 0.8678918 1.0016168
## [144,] 1.0480813 0.03981106 -0.8794039 0.8678918 1.0016168
## [145,] -0.9510367 0.16160927 1.1334539 0.8678918 1.0016168
## [146,] 1.0480813 0.28340748 -0.8794039 0.8678918 1.0016168
## [147,] -0.9510367 -1.42176744 1.1334539 0.8678918 -0.9951548
## [148,] 1.0480813 -0.81277639 1.1334539 -1.1484884 -0.9951548
## [149,] -0.9510367 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [150,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [151,] -0.9510367 0.52700390 -0.8794039 -1.1484884 1.0016168
## [152,] -0.9510367 -0.08198714 1.1334539 -1.1484884 -0.9951548
## [153,] 1.0480813 1.37959136 1.1334539 0.8678918 1.0016168
## [154,] -0.9510367 0.77060032 -0.8794039 -1.1484884 -0.9951548
## [155,] 1.0480813 0.16160927 -0.8794039 0.8678918 -0.9951548
## [156,] -0.9510367 1.50138957 -0.8794039 0.8678918 1.0016168
## [157,] -0.9510367 -1.90896027 -0.8794039 0.8678918 -0.9951548
## [158,] 1.0480813 -0.69097819 -0.8794039 0.8678918 -0.9951548
## [159,] 1.0480813 -0.81277639 1.1334539 -1.1484884 1.0016168
## [160,] -0.9510367 0.64880211 1.1334539 -1.1484884 1.0016168
## [161,] 1.0480813 -0.93457460 1.1334539 -1.1484884 -0.9951548
## [162,] -0.9510367 -0.08198714 -0.8794039 0.8678918 1.0016168
## [163,] 1.0480813 1.25779315 -0.8794039 -1.1484884 -0.9951548
## [164,] -0.9510367 0.64880211 -0.8794039 -1.1484884 -0.9951548
## [165,] 1.0480813 1.50138957 1.1334539 0.8678918 -0.9951548
## [166,] -0.9510367 0.03981106 1.1334539 0.8678918 1.0016168
## [167,] 1.0480813 -0.20378535 1.1334539 0.8678918 -0.9951548
## [168,] -0.9510367 -0.08198714 1.1334539 -1.1484884 -0.9951548
## [169,] -0.9510367 -2.27435490 1.1334539 0.8678918 -0.9951548
## [170,] -0.9510367 -0.81277639 -0.8794039 0.8678918 1.0016168
## [171,] -0.9510367 -1.05637281 1.1334539 0.8678918 -0.9951548
## [172,] 1.0480813 -0.69097819 1.1334539 0.8678918 1.0016168
## [173,] -0.9510367 -0.81277639 1.1334539 0.8678918 -0.9951548
## [174,] 1.0480813 0.77060032 1.1334539 -1.1484884 1.0016168
## [175,] -0.9510367 1.13599494 1.1334539 0.8678918 -0.9951548
## [176,] 1.0480813 -0.44738177 -0.8794039 0.8678918 1.0016168
## [177,] 1.0480813 0.89239852 1.1334539 0.8678918 -0.9951548
## [178,] -0.9510367 0.16160927 -0.8794039 -1.1484884 -0.9951548
## [179,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [180,] 1.0480813 1.13599494 -0.8794039 0.8678918 1.0016168
## [181,] -0.9510367 0.03981106 -0.8794039 0.8678918 1.0016168
## [182,] 1.0480813 1.37959136 -0.8794039 0.8678918 1.0016168
## [183,] -0.9510367 1.01419673 1.1334539 -1.1484884 -0.9951548
## [184,] 1.0480813 1.01419673 -0.8794039 -1.1484884 -0.9951548
## [185,] -0.9510367 1.13599494 -0.8794039 -1.1484884 -0.9951548
## [186,] -0.9510367 1.74498598 -0.8794039 -1.1484884 -0.9951548
## [187,] 1.0480813 1.13599494 1.1334539 0.8678918 1.0016168
## [188,] -0.9510367 -0.93457460 -0.8794039 -1.1484884 -0.9951548
## [189,] -0.9510367 0.28340748 -0.8794039 0.8678918 1.0016168
## [190,] 1.0480813 0.52700390 -0.8794039 0.8678918 1.0016168
## [191,] 1.0480813 0.77060032 1.1334539 -1.1484884 -0.9951548
## [192,] 1.0480813 -0.93457460 -0.8794039 0.8678918 1.0016168
## [193,] 1.0480813 -1.42176744 -0.8794039 0.8678918 1.0016168
## [194,] 1.0480813 0.16160927 1.1334539 -1.1484884 -0.9951548
## [195,] -0.9510367 0.03981106 1.1334539 -1.1484884 -0.9951548
## [196,] -0.9510367 0.77060032 1.1334539 0.8678918 1.0016168
## [197,] -0.9510367 0.16160927 1.1334539 0.8678918 1.0016168
## [198,] -0.9510367 -0.44738177 1.1334539 0.8678918 1.0016168
## [199,] 1.0480813 1.25779315 -0.8794039 0.8678918 1.0016168
## [200,] 1.0480813 -0.93457460 -0.8794039 -1.1484884 -0.9951548
## [201,] 1.0480813 0.03981106 1.1334539 -1.1484884 -0.9951548
## [202,] 1.0480813 -0.32558356 1.1334539 -1.1484884 -0.9951548
## [203,] -0.9510367 1.37959136 -0.8794039 -1.1484884 -0.9951548
## [204,] 1.0480813 0.28340748 1.1334539 0.8678918 1.0016168
## [205,] -0.9510367 1.98858240 -0.8794039 -1.1484884 -0.9951548
## [206,] -0.9510367 -0.08198714 1.1334539 0.8678918 1.0016168
## [207,] 1.0480813 1.01419673 -0.8794039 0.8678918 1.0016168
## [208,] -0.9510367 0.03981106 -0.8794039 -1.1484884 -0.9951548
## [209,] -0.9510367 0.52700390 1.1334539 0.8678918 1.0016168
## [210,] -0.9510367 -0.93457460 -0.8794039 -1.1484884 -0.9951548
## [211,] -0.9510367 -1.05637281 -0.8794039 -1.1484884 -0.9951548
## [212,] 1.0480813 1.74498598 1.1334539 0.8678918 1.0016168
## [213,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [214,] -0.9510367 0.16160927 -0.8794039 0.8678918 1.0016168
## [215,] 1.0480813 -0.20378535 -0.8794039 0.8678918 1.0016168
## [216,] 1.0480813 -0.08198714 1.1334539 -1.1484884 -0.9951548
## [217,] 1.0480813 0.52700390 -0.8794039 0.8678918 1.0016168
## [218,] 1.0480813 -0.81277639 -0.8794039 0.8678918 1.0016168
## [219,] 1.0480813 0.89239852 1.1334539 -1.1484884 -0.9951548
## [220,] -0.9510367 0.89239852 1.1334539 -1.1484884 -0.9951548
## [221,] 1.0480813 -0.69097819 1.1334539 -1.1484884 1.0016168
## [222,] -0.9510367 -0.20378535 1.1334539 -1.1484884 1.0016168
## [223,] 1.0480813 1.74498598 1.1334539 -1.1484884 -0.9951548
## [224,] -0.9510367 0.03981106 -0.8794039 0.8678918 1.0016168
## [225,] 1.0480813 -0.08198714 -0.8794039 -1.1484884 -0.9951548
## [226,] -0.9510367 -0.44738177 -0.8794039 -1.1484884 -0.9951548
## [227,] 1.0480813 0.89239852 1.1334539 0.8678918 -0.9951548
## [228,] -0.9510367 1.01419673 1.1334539 0.8678918 1.0016168
## [229,] 1.0480813 -0.81277639 1.1334539 0.8678918 -0.9951548
## [230,] -0.9510367 -0.69097819 1.1334539 -1.1484884 -0.9951548
## [231,] -0.9510367 1.86678419 1.1334539 0.8678918 -0.9951548
## [232,] -0.9510367 0.16160927 -0.8794039 0.8678918 1.0016168
## [233,] -0.9510367 -0.08198714 1.1334539 0.8678918 -0.9951548
## [234,] 1.0480813 -1.66536385 1.1334539 0.8678918 1.0016168
## [235,] -0.9510367 1.74498598 1.1334539 0.8678918 -0.9951548
## [236,] 1.0480813 0.16160927 1.1334539 -1.1484884 1.0016168
## [237,] -0.9510367 0.03981106 1.1334539 0.8678918 -0.9951548
## [238,] 1.0480813 -1.05637281 -0.8794039 0.8678918 1.0016168
## [239,] 1.0480813 -3.00514415 1.1334539 0.8678918 -0.9951548
## [240,] 1.0480813 1.50138957 1.1334539 0.8678918 1.0016168
## [241,] 1.0480813 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [242,] -0.9510367 -0.44738177 -0.8794039 -1.1484884 -0.9951548
## [243,] -0.9510367 1.74498598 -0.8794039 0.8678918 1.0016168
## [244,] -0.9510367 -0.20378535 1.1334539 -1.1484884 1.0016168
## [245,] 1.0480813 0.16160927 -0.8794039 0.8678918 1.0016168
## [246,] -0.9510367 -0.44738177 1.1334539 -1.1484884 -0.9951548
## [247,] 1.0480813 1.01419673 -0.8794039 0.8678918 1.0016168
## [248,] -0.9510367 0.52700390 1.1334539 0.8678918 -0.9951548
## [249,] 1.0480813 0.16160927 -0.8794039 0.8678918 -0.9951548
## [250,] -0.9510367 0.64880211 -0.8794039 -1.1484884 1.0016168
## [251,] -0.9510367 0.77060032 -0.8794039 0.8678918 1.0016168
## [252,] 1.0480813 0.16160927 -0.8794039 0.8678918 1.0016168
## [253,] -0.9510367 -0.44738177 1.1334539 0.8678918 1.0016168
## [254,] 1.0480813 0.52700390 -0.8794039 0.8678918 1.0016168
## [255,] -0.9510367 1.37959136 1.1334539 0.8678918 -0.9951548
## [256,] 1.0480813 1.74498598 1.1334539 -1.1484884 -0.9951548
## [257,] -0.9510367 -0.32558356 -0.8794039 -1.1484884 -0.9951548
## [258,] -0.9510367 0.16160927 -0.8794039 -1.1484884 -0.9951548
## [259,] -0.9510367 0.89239852 -0.8794039 -1.1484884 1.0016168
## [260,] -0.9510367 -0.56917998 1.1334539 -1.1484884 -0.9951548
## [261,] 1.0480813 -0.44738177 1.1334539 0.8678918 1.0016168
## [262,] -0.9510367 -2.88334594 -0.8794039 -1.1484884 -0.9951548
## [263,] 1.0480813 0.52700390 1.1334539 0.8678918 -0.9951548
## [264,] 1.0480813 1.01419673 1.1334539 0.8678918 -0.9951548
## [265,] -0.9510367 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [266,] 1.0480813 -0.32558356 -0.8794039 0.8678918 1.0016168
## [267,] 1.0480813 -0.93457460 -0.8794039 -1.1484884 1.0016168
## [268,] -0.9510367 -0.32558356 -0.8794039 0.8678918 1.0016168
## [269,] 1.0480813 -0.93457460 -0.8794039 0.8678918 1.0016168
## [270,] -0.9510367 -0.93457460 1.1334539 -1.1484884 -0.9951548
## [271,] 1.0480813 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [272,] -0.9510367 0.03981106 -0.8794039 -1.1484884 -0.9951548
## [273,] -0.9510367 0.16160927 -0.8794039 -1.1484884 -0.9951548
## [274,] 1.0480813 -0.44738177 1.1334539 0.8678918 1.0016168
## [275,] -0.9510367 -0.81277639 -0.8794039 -1.1484884 -0.9951548
## [276,] -0.9510367 0.16160927 -0.8794039 0.8678918 1.0016168
## [277,] 1.0480813 -0.08198714 -0.8794039 0.8678918 1.0016168
## [278,] 1.0480813 2.96296807 1.1334539 -1.1484884 -0.9951548
## [279,] 1.0480813 1.74498598 -0.8794039 0.8678918 1.0016168
## [280,] 1.0480813 -0.44738177 1.1334539 0.8678918 1.0016168
## [281,] 1.0480813 -0.44738177 -0.8794039 -1.1484884 -0.9951548
## [282,] -0.9510367 -0.93457460 -0.8794039 -1.1484884 -0.9951548
## [283,] -0.9510367 -2.03075848 1.1334539 0.8678918 1.0016168
## [284,] -0.9510367 -0.32558356 1.1334539 0.8678918 1.0016168
## [285,] -0.9510367 -0.56917998 -0.8794039 0.8678918 1.0016168
## [286,] 1.0480813 -0.56917998 -0.8794039 0.8678918 1.0016168
## [287,] 1.0480813 0.03981106 1.1334539 -1.1484884 -0.9951548
## [288,] 1.0480813 -1.42176744 -0.8794039 0.8678918 1.0016168
## [289,] 1.0480813 -0.20378535 1.1334539 0.8678918 1.0016168
## [290,] 1.0480813 -0.20378535 -0.8794039 -1.1484884 -0.9951548
## [291,] -0.9510367 1.62318777 -0.8794039 -1.1484884 -0.9951548
## [292,] -0.9510367 1.01419673 -0.8794039 0.8678918 1.0016168
## [293,] -0.9510367 0.77060032 1.1334539 -1.1484884 1.0016168
## [294,] 1.0480813 -0.81277639 -0.8794039 0.8678918 1.0016168
## [295,] -0.9510367 0.52700390 1.1334539 -1.1484884 -0.9951548
## [296,] 1.0480813 -1.05637281 -0.8794039 0.8678918 1.0016168
## [297,] -0.9510367 0.03981106 1.1334539 0.8678918 -0.9951548
## [298,] 1.0480813 -1.90896027 -0.8794039 0.8678918 -0.9951548
## [299,] -0.9510367 -0.08198714 -0.8794039 -1.1484884 1.0016168
## [300,] -0.9510367 0.28340748 -0.8794039 0.8678918 1.0016168
## [301,] 1.0480813 0.03981106 -0.8794039 0.8678918 1.0016168
## [302,] -0.9510367 0.16160927 1.1334539 0.8678918 1.0016168
## [303,] 1.0480813 0.28340748 -0.8794039 0.8678918 1.0016168
## [304,] -0.9510367 -1.42176744 1.1334539 0.8678918 -0.9951548
## [305,] 1.0480813 -0.81277639 1.1334539 -1.1484884 -0.9951548
## [306,] -0.9510367 0.89239852 -0.8794039 -1.1484884 -0.9951548
## [307,] -0.9510367 -0.56917998 -0.8794039 -1.1484884 -0.9951548
## [308,] -0.9510367 0.52700390 -0.8794039 -1.1484884 1.0016168
## [309,] -0.9510367 -0.08198714 1.1334539 -1.1484884 -0.9951548
## PEER_PRESSURE CHRONIC_DISEASE FATIGUE ALLERGY WHEEZING
## [1,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [2,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [3,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [4,] -1.0016168 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [5,] -1.0016168 -1.0081211 -1.432739 -1.1186650 0.8910297
## [6,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [7,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [8,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [9,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [10,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [11,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [12,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
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## [20,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
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## [36,] -1.0016168 0.9887342 -1.432739 -1.1186650 -1.1186650
## [37,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [38,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [39,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [40,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [41,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [42,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [43,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [44,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
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## [46,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
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## [48,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [49,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
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## [51,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [52,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [53,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [54,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [55,] 0.9951548 0.9887342 0.695705 0.8910297 -1.1186650
## [56,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
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## [58,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [59,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
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## [61,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
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## [63,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [64,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [65,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [66,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
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## [68,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [69,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [70,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
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## [72,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [73,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [74,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [75,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [76,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [77,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [78,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
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## [81,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [82,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [83,] 0.9951548 0.9887342 -1.432739 0.8910297 0.8910297
## [84,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [85,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [86,] -1.0016168 -1.0081211 -1.432739 -1.1186650 0.8910297
## [87,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [88,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [89,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [90,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [91,] 0.9951548 -1.0081211 -1.432739 -1.1186650 0.8910297
## [92,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [93,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [94,] 0.9951548 0.9887342 -1.432739 0.8910297 0.8910297
## [95,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [96,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [97,] -1.0016168 -1.0081211 -1.432739 0.8910297 -1.1186650
## [98,] 0.9951548 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [99,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [100,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [101,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [102,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [103,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
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## [105,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [106,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [107,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [108,] 0.9951548 0.9887342 -1.432739 0.8910297 0.8910297
## [109,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [110,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [111,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [112,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [113,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
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## [115,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [116,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [117,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [118,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [119,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [120,] 0.9951548 -1.0081211 -1.432739 0.8910297 -1.1186650
## [121,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [122,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [123,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [124,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [125,] -1.0016168 -1.0081211 -1.432739 0.8910297 -1.1186650
## [126,] 0.9951548 0.9887342 0.695705 0.8910297 -1.1186650
## [127,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [128,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [129,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [130,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [131,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [132,] 0.9951548 -1.0081211 -1.432739 0.8910297 0.8910297
## [133,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [134,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [135,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [136,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [137,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [138,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [139,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [140,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [141,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [142,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [143,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [144,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [145,] 0.9951548 -1.0081211 -1.432739 0.8910297 -1.1186650
## [146,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [147,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [148,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [149,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [150,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [151,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [152,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [153,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [154,] 0.9951548 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [155,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [156,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [157,] -1.0016168 0.9887342 -1.432739 -1.1186650 -1.1186650
## [158,] 0.9951548 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [159,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [160,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [161,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [162,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [163,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [164,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [165,] 0.9951548 0.9887342 0.695705 0.8910297 -1.1186650
## [166,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [167,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [168,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [169,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [170,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [171,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [172,] -1.0016168 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [173,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [174,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [175,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [176,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [177,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [178,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [179,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [180,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [181,] 0.9951548 -1.0081211 -1.432739 0.8910297 -1.1186650
## [182,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [183,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [184,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [185,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [186,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [187,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [188,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [189,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [190,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [191,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [192,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [193,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [194,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [195,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [196,] -1.0016168 -1.0081211 -1.432739 -1.1186650 0.8910297
## [197,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [198,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [199,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [200,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [201,] 0.9951548 -1.0081211 -1.432739 -1.1186650 0.8910297
## [202,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [203,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [204,] 0.9951548 0.9887342 -1.432739 0.8910297 0.8910297
## [205,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [206,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [207,] -1.0016168 -1.0081211 -1.432739 0.8910297 -1.1186650
## [208,] 0.9951548 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [209,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [210,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [211,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [212,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [213,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [214,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [215,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [216,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [217,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [218,] 0.9951548 0.9887342 -1.432739 0.8910297 0.8910297
## [219,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [220,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [221,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [222,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [223,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [224,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [225,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [226,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [227,] 0.9951548 0.9887342 0.695705 0.8910297 -1.1186650
## [228,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [229,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [230,] -1.0016168 0.9887342 -1.432739 0.8910297 -1.1186650
## [231,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [232,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [233,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [234,] -1.0016168 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [235,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [236,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [237,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [238,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [239,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [240,] 0.9951548 -1.0081211 -1.432739 0.8910297 0.8910297
## [241,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [242,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [243,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [244,] -1.0016168 0.9887342 0.695705 -1.1186650 0.8910297
## [245,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [246,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [247,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [248,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [249,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [250,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [251,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [252,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [253,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [254,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [255,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [256,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [257,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [258,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [259,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [260,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [261,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [262,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## [263,] -1.0016168 -1.0081211 -1.432739 -1.1186650 0.8910297
## [264,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [265,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [266,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [267,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [268,] 0.9951548 0.9887342 -1.432739 0.8910297 -1.1186650
## [269,] 0.9951548 0.9887342 0.695705 -1.1186650 0.8910297
## [270,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [271,] -1.0016168 -1.0081211 0.695705 -1.1186650 -1.1186650
## [272,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [273,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [274,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [275,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [276,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [277,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [278,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [279,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [280,] 0.9951548 -1.0081211 -1.432739 0.8910297 0.8910297
## [281,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [282,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [283,] -1.0016168 -1.0081211 -1.432739 -1.1186650 -1.1186650
## [284,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [285,] 0.9951548 0.9887342 -1.432739 -1.1186650 -1.1186650
## [286,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [287,] -1.0016168 0.9887342 0.695705 -1.1186650 -1.1186650
## [288,] 0.9951548 -1.0081211 0.695705 -1.1186650 -1.1186650
## [289,] 0.9951548 -1.0081211 -1.432739 0.8910297 0.8910297
## [290,] -1.0016168 0.9887342 0.695705 0.8910297 -1.1186650
## [291,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [292,] -1.0016168 0.9887342 -1.432739 0.8910297 0.8910297
## [293,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [294,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [295,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [296,] -1.0016168 0.9887342 -1.432739 -1.1186650 0.8910297
## [297,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [298,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [299,] -1.0016168 -1.0081211 0.695705 -1.1186650 0.8910297
## [300,] 0.9951548 -1.0081211 0.695705 0.8910297 -1.1186650
## [301,] 0.9951548 0.9887342 0.695705 0.8910297 0.8910297
## [302,] 0.9951548 -1.0081211 -1.432739 0.8910297 -1.1186650
## [303,] 0.9951548 -1.0081211 0.695705 -1.1186650 0.8910297
## [304,] -1.0016168 0.9887342 0.695705 0.8910297 0.8910297
## [305,] 0.9951548 0.9887342 0.695705 -1.1186650 -1.1186650
## [306,] -1.0016168 -1.0081211 0.695705 0.8910297 0.8910297
## [307,] -1.0016168 -1.0081211 -1.432739 0.8910297 0.8910297
## [308,] -1.0016168 -1.0081211 0.695705 0.8910297 -1.1186650
## [309,] 0.9951548 -1.0081211 0.695705 0.8910297 0.8910297
## ALCOHOL_CONSUMING COUGHING SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY
## [1,] 0.8910297 0.850827 0.7475238 1.0617788
## [2,] -1.1186650 -1.171523 0.7475238 1.0617788
## [3,] -1.1186650 0.850827 0.7475238 -0.9387678
## [4,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [5,] -1.1186650 0.850827 0.7475238 -0.9387678
## [6,] -1.1186650 0.850827 0.7475238 -0.9387678
## [7,] 0.8910297 0.850827 0.7475238 -0.9387678
## [8,] -1.1186650 -1.171523 0.7475238 1.0617788
## [9,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [10,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [11,] -1.1186650 0.850827 0.7475238 1.0617788
## [12,] 0.8910297 0.850827 0.7475238 -0.9387678
## [13,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [14,] 0.8910297 0.850827 0.7475238 -0.9387678
## [15,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [16,] -1.1186650 0.850827 0.7475238 1.0617788
## [17,] 0.8910297 0.850827 0.7475238 -0.9387678
## [18,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [19,] -1.1186650 0.850827 0.7475238 -0.9387678
## [20,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [21,] -1.1186650 -1.171523 0.7475238 1.0617788
## [22,] -1.1186650 0.850827 -1.3334208 1.0617788
## [23,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [24,] 0.8910297 0.850827 0.7475238 -0.9387678
## [25,] 0.8910297 0.850827 -1.3334208 1.0617788
## [26,] 0.8910297 0.850827 0.7475238 1.0617788
## [27,] 0.8910297 -1.171523 0.7475238 1.0617788
## [28,] -1.1186650 0.850827 0.7475238 -0.9387678
## [29,] 0.8910297 -1.171523 0.7475238 1.0617788
## [30,] 0.8910297 0.850827 0.7475238 -0.9387678
## [31,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [32,] 0.8910297 -1.171523 0.7475238 1.0617788
## [33,] -1.1186650 -1.171523 0.7475238 1.0617788
## [34,] -1.1186650 -1.171523 0.7475238 1.0617788
## [35,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [36,] -1.1186650 -1.171523 0.7475238 1.0617788
## [37,] -1.1186650 0.850827 0.7475238 -0.9387678
## [38,] -1.1186650 -1.171523 0.7475238 1.0617788
## [39,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [40,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [41,] 0.8910297 0.850827 0.7475238 -0.9387678
## [42,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [43,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [44,] 0.8910297 -1.171523 0.7475238 -0.9387678
## [45,] 0.8910297 0.850827 -1.3334208 1.0617788
## [46,] 0.8910297 0.850827 0.7475238 1.0617788
## [47,] -1.1186650 0.850827 0.7475238 1.0617788
## [48,] 0.8910297 0.850827 -1.3334208 1.0617788
## [49,] 0.8910297 -1.171523 0.7475238 1.0617788
## [50,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [51,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [52,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [53,] 0.8910297 0.850827 -1.3334208 1.0617788
## [54,] 0.8910297 0.850827 0.7475238 1.0617788
## [55,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [56,] 0.8910297 0.850827 -1.3334208 1.0617788
## [57,] -1.1186650 0.850827 0.7475238 -0.9387678
## [58,] 0.8910297 0.850827 0.7475238 1.0617788
## [59,] -1.1186650 -1.171523 0.7475238 1.0617788
## [60,] 0.8910297 0.850827 0.7475238 -0.9387678
## [61,] 0.8910297 0.850827 -1.3334208 1.0617788
## [62,] -1.1186650 0.850827 -1.3334208 -0.9387678
## [63,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [64,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [65,] 0.8910297 0.850827 0.7475238 -0.9387678
## [66,] -1.1186650 0.850827 -1.3334208 1.0617788
## [67,] -1.1186650 0.850827 0.7475238 -0.9387678
## [68,] 0.8910297 0.850827 0.7475238 -0.9387678
## [69,] -1.1186650 -1.171523 0.7475238 1.0617788
## [70,] -1.1186650 0.850827 0.7475238 1.0617788
## [71,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [72,] -1.1186650 0.850827 0.7475238 1.0617788
## [73,] 0.8910297 0.850827 0.7475238 -0.9387678
## [74,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [75,] 0.8910297 0.850827 0.7475238 -0.9387678
## [76,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [77,] -1.1186650 0.850827 0.7475238 1.0617788
## [78,] 0.8910297 0.850827 0.7475238 -0.9387678
## [79,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [80,] -1.1186650 0.850827 0.7475238 1.0617788
## [81,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [82,] -1.1186650 -1.171523 0.7475238 1.0617788
## [83,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [84,] 0.8910297 0.850827 0.7475238 -0.9387678
## [85,] 0.8910297 0.850827 0.7475238 -0.9387678
## [86,] 0.8910297 0.850827 0.7475238 1.0617788
## [87,] 0.8910297 0.850827 0.7475238 -0.9387678
## [88,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [89,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [90,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [91,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [92,] -1.1186650 0.850827 0.7475238 -0.9387678
## [93,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [94,] 0.8910297 0.850827 0.7475238 1.0617788
## [95,] 0.8910297 0.850827 0.7475238 1.0617788
## [96,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [97,] 0.8910297 0.850827 0.7475238 -0.9387678
## [98,] 0.8910297 0.850827 0.7475238 -0.9387678
## [99,] -1.1186650 0.850827 -1.3334208 1.0617788
## [100,] 0.8910297 0.850827 0.7475238 -0.9387678
## [101,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [102,] -1.1186650 0.850827 0.7475238 1.0617788
## [103,] 0.8910297 0.850827 0.7475238 -0.9387678
## [104,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [105,] -1.1186650 0.850827 0.7475238 1.0617788
## [106,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [107,] -1.1186650 -1.171523 0.7475238 1.0617788
## [108,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [109,] 0.8910297 0.850827 0.7475238 -0.9387678
## [110,] 0.8910297 -1.171523 0.7475238 -0.9387678
## [111,] 0.8910297 0.850827 0.7475238 1.0617788
## [112,] 0.8910297 -1.171523 0.7475238 1.0617788
## [113,] -1.1186650 0.850827 0.7475238 -0.9387678
## [114,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [115,] 0.8910297 0.850827 0.7475238 -0.9387678
## [116,] -1.1186650 0.850827 0.7475238 -0.9387678
## [117,] 0.8910297 0.850827 0.7475238 -0.9387678
## [118,] -1.1186650 -1.171523 0.7475238 1.0617788
## [119,] -1.1186650 0.850827 0.7475238 1.0617788
## [120,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [121,] -1.1186650 0.850827 0.7475238 1.0617788
## [122,] 0.8910297 0.850827 0.7475238 -0.9387678
## [123,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [124,] 0.8910297 0.850827 0.7475238 -0.9387678
## [125,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [126,] -1.1186650 0.850827 0.7475238 -0.9387678
## [127,] 0.8910297 0.850827 0.7475238 -0.9387678
## [128,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [129,] -1.1186650 0.850827 0.7475238 1.0617788
## [130,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [131,] -1.1186650 -1.171523 0.7475238 1.0617788
## [132,] -1.1186650 0.850827 -1.3334208 1.0617788
## [133,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [134,] 0.8910297 0.850827 0.7475238 -0.9387678
## [135,] 0.8910297 0.850827 -1.3334208 1.0617788
## [136,] 0.8910297 0.850827 0.7475238 1.0617788
## [137,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [138,] -1.1186650 0.850827 0.7475238 -0.9387678
## [139,] 0.8910297 -1.171523 0.7475238 1.0617788
## [140,] 0.8910297 0.850827 0.7475238 -0.9387678
## [141,] -1.1186650 0.850827 0.7475238 -0.9387678
## [142,] 0.8910297 0.850827 0.7475238 -0.9387678
## [143,] -1.1186650 -1.171523 0.7475238 1.0617788
## [144,] -1.1186650 0.850827 0.7475238 1.0617788
## [145,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [146,] -1.1186650 0.850827 0.7475238 1.0617788
## [147,] 0.8910297 0.850827 0.7475238 -0.9387678
## [148,] 0.8910297 0.850827 0.7475238 1.0617788
## [149,] 0.8910297 0.850827 0.7475238 -0.9387678
## [150,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [151,] 0.8910297 0.850827 0.7475238 -0.9387678
## [152,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [153,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [154,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [155,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [156,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [157,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [158,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [159,] 0.8910297 -1.171523 0.7475238 1.0617788
## [160,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [161,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [162,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [163,] 0.8910297 0.850827 -1.3334208 1.0617788
## [164,] 0.8910297 0.850827 0.7475238 1.0617788
## [165,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [166,] 0.8910297 0.850827 -1.3334208 1.0617788
## [167,] -1.1186650 0.850827 0.7475238 -0.9387678
## [168,] 0.8910297 0.850827 0.7475238 1.0617788
## [169,] -1.1186650 -1.171523 0.7475238 1.0617788
## [170,] 0.8910297 0.850827 0.7475238 -0.9387678
## [171,] 0.8910297 0.850827 -1.3334208 1.0617788
## [172,] -1.1186650 0.850827 -1.3334208 -0.9387678
## [173,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [174,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [175,] 0.8910297 0.850827 0.7475238 -0.9387678
## [176,] -1.1186650 0.850827 -1.3334208 1.0617788
## [177,] -1.1186650 0.850827 0.7475238 -0.9387678
## [178,] 0.8910297 0.850827 0.7475238 -0.9387678
## [179,] -1.1186650 -1.171523 0.7475238 1.0617788
## [180,] -1.1186650 0.850827 0.7475238 1.0617788
## [181,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [182,] -1.1186650 0.850827 0.7475238 1.0617788
## [183,] 0.8910297 0.850827 0.7475238 -0.9387678
## [184,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [185,] 0.8910297 0.850827 0.7475238 -0.9387678
## [186,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [187,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [188,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [189,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [190,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [191,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [192,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [193,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [194,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [195,] 0.8910297 0.850827 0.7475238 -0.9387678
## [196,] 0.8910297 0.850827 0.7475238 1.0617788
## [197,] 0.8910297 0.850827 0.7475238 -0.9387678
## [198,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [199,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [200,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [201,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [202,] -1.1186650 0.850827 0.7475238 -0.9387678
## [203,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [204,] 0.8910297 0.850827 0.7475238 1.0617788
## [205,] 0.8910297 0.850827 0.7475238 1.0617788
## [206,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [207,] 0.8910297 0.850827 0.7475238 -0.9387678
## [208,] -1.1186650 0.850827 0.7475238 -0.9387678
## [209,] -1.1186650 0.850827 -1.3334208 1.0617788
## [210,] 0.8910297 0.850827 0.7475238 -0.9387678
## [211,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [212,] -1.1186650 0.850827 0.7475238 1.0617788
## [213,] 0.8910297 0.850827 0.7475238 -0.9387678
## [214,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [215,] -1.1186650 0.850827 0.7475238 1.0617788
## [216,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [217,] -1.1186650 -1.171523 0.7475238 1.0617788
## [218,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [219,] 0.8910297 0.850827 0.7475238 -0.9387678
## [220,] 0.8910297 0.850827 0.7475238 -0.9387678
## [221,] 0.8910297 -1.171523 0.7475238 1.0617788
## [222,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [223,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [224,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [225,] 0.8910297 0.850827 -1.3334208 1.0617788
## [226,] 0.8910297 0.850827 0.7475238 1.0617788
## [227,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [228,] 0.8910297 0.850827 -1.3334208 1.0617788
## [229,] -1.1186650 0.850827 0.7475238 -0.9387678
## [230,] 0.8910297 0.850827 0.7475238 1.0617788
## [231,] -1.1186650 -1.171523 0.7475238 1.0617788
## [232,] 0.8910297 0.850827 0.7475238 -0.9387678
## [233,] 0.8910297 0.850827 -1.3334208 1.0617788
## [234,] -1.1186650 0.850827 -1.3334208 -0.9387678
## [235,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [236,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [237,] 0.8910297 0.850827 0.7475238 -0.9387678
## [238,] -1.1186650 0.850827 -1.3334208 1.0617788
## [239,] -1.1186650 0.850827 0.7475238 -0.9387678
## [240,] -1.1186650 0.850827 -1.3334208 1.0617788
## [241,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [242,] 0.8910297 0.850827 0.7475238 -0.9387678
## [243,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [244,] 0.8910297 0.850827 0.7475238 1.0617788
## [245,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [246,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [247,] 0.8910297 -1.171523 0.7475238 1.0617788
## [248,] 0.8910297 0.850827 0.7475238 -0.9387678
## [249,] -1.1186650 0.850827 0.7475238 -0.9387678
## [250,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [251,] -1.1186650 -1.171523 0.7475238 1.0617788
## [252,] -1.1186650 0.850827 0.7475238 1.0617788
## [253,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [254,] -1.1186650 0.850827 0.7475238 1.0617788
## [255,] 0.8910297 0.850827 0.7475238 -0.9387678
## [256,] 0.8910297 0.850827 0.7475238 1.0617788
## [257,] 0.8910297 0.850827 0.7475238 -0.9387678
## [258,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [259,] 0.8910297 0.850827 0.7475238 -0.9387678
## [260,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [261,] 0.8910297 -1.171523 -1.3334208 -0.9387678
## [262,] 0.8910297 -1.171523 0.7475238 -0.9387678
## [263,] -1.1186650 0.850827 0.7475238 -0.9387678
## [264,] -1.1186650 0.850827 0.7475238 -0.9387678
## [265,] 0.8910297 0.850827 0.7475238 -0.9387678
## [266,] -1.1186650 -1.171523 0.7475238 1.0617788
## [267,] -1.1186650 -1.171523 -1.3334208 -0.9387678
## [268,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [269,] -1.1186650 0.850827 0.7475238 1.0617788
## [270,] 0.8910297 0.850827 0.7475238 -0.9387678
## [271,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [272,] 0.8910297 0.850827 0.7475238 -0.9387678
## [273,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [274,] -1.1186650 0.850827 0.7475238 1.0617788
## [275,] 0.8910297 0.850827 0.7475238 -0.9387678
## [276,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [277,] -1.1186650 0.850827 0.7475238 -0.9387678
## [278,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [279,] -1.1186650 -1.171523 0.7475238 1.0617788
## [280,] -1.1186650 0.850827 -1.3334208 1.0617788
## [281,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [282,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [283,] -1.1186650 -1.171523 -1.3334208 1.0617788
## [284,] 0.8910297 0.850827 0.7475238 1.0617788
## [285,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [286,] -1.1186650 0.850827 0.7475238 1.0617788
## [287,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [288,] -1.1186650 -1.171523 0.7475238 1.0617788
## [289,] -1.1186650 0.850827 -1.3334208 1.0617788
## [290,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [291,] 0.8910297 0.850827 0.7475238 -0.9387678
## [292,] 0.8910297 0.850827 -1.3334208 1.0617788
## [293,] 0.8910297 0.850827 0.7475238 1.0617788
## [294,] -1.1186650 -1.171523 0.7475238 -0.9387678
## [295,] -1.1186650 0.850827 0.7475238 -0.9387678
## [296,] 0.8910297 -1.171523 0.7475238 1.0617788
## [297,] 0.8910297 0.850827 0.7475238 -0.9387678
## [298,] -1.1186650 0.850827 0.7475238 -0.9387678
## [299,] 0.8910297 0.850827 0.7475238 -0.9387678
## [300,] -1.1186650 -1.171523 0.7475238 1.0617788
## [301,] -1.1186650 0.850827 0.7475238 1.0617788
## [302,] 0.8910297 -1.171523 -1.3334208 1.0617788
## [303,] -1.1186650 0.850827 0.7475238 1.0617788
## [304,] 0.8910297 0.850827 0.7475238 -0.9387678
## [305,] 0.8910297 0.850827 0.7475238 1.0617788
## [306,] 0.8910297 0.850827 0.7475238 -0.9387678
## [307,] 0.8910297 0.850827 -1.3334208 -0.9387678
## [308,] 0.8910297 0.850827 0.7475238 -0.9387678
## [309,] 0.8910297 -1.171523 -1.3334208 1.0617788
## CHEST_PAIN WEIGHT HEIGHT_INCH
## [1,] 0.8910297 -1.139073343 -1.116375616
## [2,] 0.8910297 0.808283891 1.857563907
## [3,] 0.8910297 2.179162116 0.759454418
## [4,] 0.8910297 1.293001354 0.146112791
## [5,] -1.1186650 1.455596085 -0.076360652
## [6,] -1.1186650 -0.284541347 0.395799397
## [7,] 0.8910297 1.223320266 0.968702627
## [8,] -1.1186650 0.806211776 1.079049538
## [9,] -1.1186650 -1.190478376 -0.016777055
## [10,] 0.8910297 -0.502958860 -0.598028422
## [11,] -1.1186650 0.059363459 -0.750915032
## [12,] 0.8910297 -1.043714604 -0.161699470
## [13,] -1.1186650 -0.093218811 0.190670779
## [14,] 0.8910297 -0.354214146 -0.424632063
## [15,] 0.8910297 -0.882620085 0.178836036
## [16,] -1.1186650 1.099225434 1.637778056
## [17,] 0.8910297 0.229334920 -0.764762874
## [18,] 0.8910297 1.345873444 0.370599334
## [19,] -1.1186650 0.925582185 1.709756742
## [20,] -1.1186650 -0.222999527 -0.417046621
## [21,] -1.1186650 1.205582961 -0.052504384
## [22,] -1.1186650 1.392777843 0.489693889
## [23,] -1.1186650 -2.389850946 -2.310828522
## [24,] 0.8910297 0.229368074 0.252615097
## [25,] 0.8910297 1.252777455 -0.159255733
## [26,] 0.8910297 0.247743591 -0.376857268
## [27,] 0.8910297 1.300303488 1.508457163
## [28,] 0.8910297 0.399074304 -0.228624653
## [29,] 0.8910297 -1.525323894 -0.726882359
## [30,] -1.1186650 -1.064502064 -1.293990144
## [31,] -1.1186650 -1.942299769 0.824081140
## [32,] 0.8910297 -0.495797630 -1.100867485
## [33,] -1.1186650 -0.078473640 -0.061578897
## [34,] 0.8910297 0.786336048 1.380148008
## [35,] 0.8910297 1.107845433 2.007835563
## [36,] -1.1186650 0.166873082 0.659520628
## [37,] 0.8910297 1.248575206 -0.586966751
## [38,] -1.1186650 -0.456153923 -0.143228763
## [39,] 0.8910297 0.382298460 -0.066398922
## [40,] 0.8910297 -1.659671552 -2.018098942
## [41,] 0.8910297 -0.196899165 0.331873110
## [42,] -1.1186650 -0.155514881 -1.427544772
## [43,] -1.1186650 1.072171899 0.894041538
## [44,] 0.8910297 0.881412979 0.016771145
## [45,] -1.1186650 -1.681354165 -1.013868379
## [46,] 0.8910297 0.168132928 0.382646801
## [47,] 0.8910297 1.570523880 -0.546912296
## [48,] 0.8910297 -0.821915399 -0.122604869
## [49,] 0.8910297 1.399599246 0.978628038
## [50,] -1.1186650 0.679414906 0.598318250
## [51,] 0.8910297 1.681440059 1.027201847
## [52,] -1.1186650 -0.033724241 -0.312946545
## [53,] 0.8910297 -0.103728579 1.211182544
## [54,] 0.8910297 -0.913967043 0.606240939
## [55,] -1.1186650 -0.269058502 -1.323781942
## [56,] -1.1186650 1.753607685 1.167122643
## [57,] 0.8910297 2.417190127 1.282149491
## [58,] 0.8910297 0.110967415 -0.721823668
## [59,] 0.8910297 -0.610468482 -0.814996972
## [60,] 0.8910297 0.586774783 -0.206490935
## [61,] 0.8910297 0.165530351 -0.742359359
## [62,] -1.1186650 0.895975804 0.552354207
## [63,] -1.1186650 0.250727437 0.191225937
## [64,] -1.1186650 0.173114292 -0.478596621
## [65,] 0.8910297 0.711242595 1.489555818
## [66,] 0.8910297 -1.419322772 0.147622616
## [67,] 0.8910297 1.304025007 0.583256323
## [68,] -1.1186650 0.498436370 -0.105820392
## [69,] 0.8910297 -1.923576137 -0.373204633
## [70,] -1.1186650 -0.166223572 -0.294366881
## [71,] 0.8910297 0.213702884 -1.382530206
## [72,] -1.1186650 0.603575492 1.508680264
## [73,] 0.8910297 1.132329546 1.032198277
## [74,] -1.1186650 -1.980965438 -1.893717407
## [75,] 0.8910297 0.148033411 0.160951618
## [76,] -1.1186650 -0.533468683 -0.818680736
## [77,] 0.8910297 0.983692583 0.221941271
## [78,] 0.8910297 0.515709522 -1.275353408
## [79,] 0.8910297 -0.921020523 0.925862000
## [80,] 0.8910297 -0.349058724 -0.108668824
## [81,] -1.1186650 0.653961044 0.365483571
## [82,] -1.1186650 -0.400894756 -0.597151582
## [83,] 0.8910297 2.373924363 1.098116911
## [84,] -1.1186650 0.182878099 -0.859461567
## [85,] 0.8910297 0.196098193 0.657367441
## [86,] -1.1186650 1.055777324 0.622516952
## [87,] 0.8910297 1.173208234 -0.296063488
## [88,] 0.8910297 0.402505727 1.119648775
## [89,] -1.1186650 -0.465163479 1.163039372
## [90,] 0.8910297 0.395966132 0.150761599
## [91,] 0.8910297 0.813306699 0.100828428
## [92,] 0.8910297 1.222897555 1.197262064
## [93,] 0.8910297 1.150025409 1.843197225
## [94,] -1.1186650 -1.209624720 0.658815005
## [95,] 0.8910297 0.557118671 1.104130268
## [96,] 0.8910297 0.419787167 1.360421708
## [97,] 0.8910297 -0.555897257 -0.855331600
## [98,] -1.1186650 -0.301549268 -2.339561886
## [99,] -1.1186650 0.116686453 -0.605940733
## [100,] 0.8910297 -0.933237713 0.494155914
## [101,] -1.1186650 -2.042498969 -1.587985694
## [102,] 0.8910297 0.299844854 -0.437001211
## [103,] 0.8910297 0.617392356 0.214086032
## [104,] 0.8910297 -2.328564411 -1.205917039
## [105,] 0.8910297 -1.009160012 -0.093119186
## [106,] -1.1186650 -0.268851291 0.044731438
## [107,] -1.1186650 -0.305627190 -0.141672242
## [108,] 0.8910297 -0.021399300 -0.840721063
## [109,] -1.1186650 0.139380258 0.779336370
## [110,] 0.8910297 0.038020673 -2.126593593
## [111,] 0.8910297 -0.387832142 -0.110106011
## [112,] 0.8910297 0.072193996 1.097862679
## [113,] 0.8910297 0.406707977 1.167926845
## [114,] 0.8910297 -1.229997756 -1.032027782
## [115,] -1.1186650 -0.389257758 1.075044092
## [116,] -1.1186650 0.150793468 0.350893787
## [117,] 0.8910297 0.492651024 0.453043025
## [118,] -1.1186650 0.773132530 0.947990530
## [119,] -1.1186650 -0.894746103 -1.286513659
## [120,] 0.8910297 0.842830195 0.461951509
## [121,] -1.1186650 -0.568172467 -1.107560523
## [122,] 0.8910297 -1.469534266 -0.373692343
## [123,] -1.1186650 0.127237663 0.770593914
## [124,] -1.1186650 0.709153903 0.523496321
## [125,] 0.8910297 -1.647711303 0.003379882
## [126,] -1.1186650 -0.285245866 -1.198482060
## [127,] 0.8910297 -1.427362579 -0.746567152
## [128,] 0.8910297 -0.615557597 -0.003577763
## [129,] -1.1186650 1.119341528 0.497652896
## [130,] -1.1186650 0.600807146 1.196452674
## [131,] -1.1186650 0.484486891 0.171862825
## [132,] -1.1186650 0.328506351 1.710420857
## [133,] -1.1186650 -0.925960445 0.603143463
## [134,] 0.8910297 -0.243786986 -1.835685142
## [135,] 0.8910297 0.116645010 1.639983126
## [136,] -1.1186650 0.764960108 0.147191979
## [137,] 0.8910297 -0.837804378 -1.046902927
## [138,] 0.8910297 0.007353369 -0.258426828
## [139,] 0.8910297 2.043596055 3.095443729
## [140,] -1.1186650 0.303922777 1.061808481
## [141,] -1.1186650 0.785034760 0.821652968
## [142,] 0.8910297 -1.105389040 -1.427129700
## [143,] -1.1186650 -0.116592270 0.038240748
## [144,] 0.8910297 0.070387112 0.209307515
## [145,] 0.8910297 -1.622796191 -1.427233468
## [146,] -1.1186650 -0.851770434 0.169714827
## [147,] 0.8910297 0.588880052 0.328770446
## [148,] -1.1186650 -1.147560727 -1.783894524
## [149,] 0.8910297 0.333313658 0.402383478
## [150,] 0.8910297 0.913530764 0.496267593
## [151,] 0.8910297 -0.110384213 0.832802842
## [152,] -1.1186650 0.972279372 -0.277758810
## [153,] -1.1186650 -0.490426707 -0.757390156
## [154,] 0.8910297 1.112188587 -0.997633872
## [155,] -1.1186650 0.829203966 2.339633802
## [156,] 0.8910297 -1.709203392 -1.976036576
## [157,] 0.8910297 2.670609809 1.580456602
## [158,] 0.8910297 -1.487661130 -0.225044657
## [159,] 0.8910297 0.997965312 2.116952823
## [160,] -1.1186650 -0.896959121 -1.361205878
## [161,] 0.8910297 1.620959162 -0.446148362
## [162,] -1.1186650 -1.397341775 -1.838512821
## [163,] 0.8910297 1.020683982 0.744558519
## [164,] 0.8910297 -0.566539641 0.230481379
## [165,] -1.1186650 0.130254663 -1.361854428
## [166,] -1.1186650 0.042057154 -0.414078856
## [167,] 0.8910297 -0.953569307 0.238507835
## [168,] 0.8910297 -0.160620573 -0.852550617
## [169,] 0.8910297 0.017879714 -0.388292503
## [170,] 0.8910297 -1.281750904 -1.008327167
## [171,] 0.8910297 -0.342021821 0.777712401
## [172,] -1.1186650 -0.209447894 0.020569054
## [173,] -1.1186650 -0.173235610 -0.090099537
## [174,] -1.1186650 -0.598301022 -1.378218645
## [175,] 0.8910297 1.041272518 3.060458341
## [176,] 0.8910297 -1.815909034 -0.582068901
## [177,] 0.8910297 -0.306091344 -0.540048042
## [178,] -1.1186650 -0.650070746 -1.141087969
## [179,] 0.8910297 -0.434438156 -1.012856641
## [180,] -1.1186650 -0.620522384 -0.700966296
## [181,] 0.8910297 0.686990559 -0.426510264
## [182,] -1.1186650 -0.870900201 -1.068901747
## [183,] 0.8910297 -1.455642806 -0.598905262
## [184,] -1.1186650 -0.208179759 0.415479002
## [185,] 0.8910297 1.195951769 -0.886347861
## [186,] -1.1186650 0.200142962 -1.024867789
## [187,] -1.1186650 0.093984359 0.336589366
## [188,] -1.1186650 -0.481640939 -0.696032127
## [189,] -1.1186650 0.075525958 -0.502883526
## [190,] -1.1186650 -2.094169232 0.075317061
## [191,] -1.1186650 1.513250617 1.170121539
## [192,] -1.1186650 -1.308174516 -1.252218329
## [193,] -1.1186650 0.507843773 -0.246934520
## [194,] -1.1186650 1.624796719 -0.272461453
## [195,] 0.8910297 1.562707861 0.895826347
## [196,] -1.1186650 -0.488379458 -1.108759043
## [197,] 0.8910297 -0.907924755 -0.949169019
## [198,] 0.8910297 0.129840240 0.158186200
## [199,] -1.1186650 0.061037728 0.046199755
## [200,] 0.8910297 0.094547975 1.792828229
## [201,] 0.8910297 -0.433957425 -1.143204837
## [202,] 0.8910297 -1.162090398 -0.778989469
## [203,] 0.8910297 0.685175387 1.078203828
## [204,] -1.1186650 0.161087736 0.802372870
## [205,] 0.8910297 -0.193053319 0.359376823
## [206,] 0.8910297 1.101587646 0.221941271
## [207,] 0.8910297 -0.763896175 0.236224939
## [208,] -1.1186650 1.420502743 0.435381708
## [209,] -1.1186650 1.196432500 1.031772828
## [210,] 0.8910297 2.420729300 1.878426467
## [211,] -1.1186650 0.602895838 0.265985606
## [212,] 0.8910297 0.278667838 -0.633506707
## [213,] 0.8910297 -1.699870586 -0.648994084
## [214,] 0.8910297 -1.217283257 0.001039913
## [215,] 0.8910297 0.783509683 0.499935792
## [216,] -1.1186650 0.373031961 -0.333653453
## [217,] -1.1186650 0.380251211 0.849410913
## [218,] 0.8910297 -0.597538483 -0.134999959
## [219,] -1.1186650 -0.807203382 0.574129925
## [220,] 0.8910297 0.977219295 0.016947551
## [221,] 0.8910297 -1.415965946 -1.087055962
## [222,] -1.1186650 0.283591183 -1.121787118
## [223,] 0.8910297 0.860012174 1.663439887
## [224,] -1.1186650 -1.075542293 -0.054185426
## [225,] 0.8910297 -0.974961824 -1.486832630
## [226,] 0.8910297 0.081186976 0.919625542
## [227,] -1.1186650 -0.392722334 1.035005202
## [228,] -1.1186650 -0.727286045 -0.943923546
## [229,] 0.8910297 0.081120668 0.352113062
## [230,] 0.8910297 -0.727186584 0.551326903
## [231,] 0.8910297 -0.130956172 -0.593177267
## [232,] 0.8910297 1.190821212 0.045992219
## [233,] 0.8910297 1.553822632 0.901533588
## [234,] -1.1186650 -0.884410392 2.016624714
## [235,] -1.1186650 0.746824956 2.496541422
## [236,] -1.1186650 0.513007484 -0.340087070
## [237,] 0.8910297 -0.917796311 -0.272305801
## [238,] 0.8910297 -1.029176645 0.309495536
## [239,] 0.8910297 1.841415636 0.278240609
## [240,] -1.1186650 1.280767586 0.302838818
## [241,] -1.1186650 0.610745011 -2.184158902
## [242,] 0.8910297 1.256300051 -0.119414002
## [243,] 0.8910297 0.995362735 0.797023629
## [244,] -1.1186650 0.639340200 -0.639732789
## [245,] 0.8910297 -0.805529113 -1.402801288
## [246,] 0.8910297 -0.916718812 1.016793915
## [247,] 0.8910297 0.667645292 0.983458439
## [248,] -1.1186650 -0.510633974 -1.316341776
## [249,] -1.1186650 -0.551338604 0.200871175
## [250,] -1.1186650 -3.512283394 -1.035623344
## [251,] -1.1186650 1.011525233 1.122284482
## [252,] 0.8910297 1.391559439 -0.975251111
## [253,] 0.8910297 -0.298441095 0.155560870
## [254,] -1.1186650 -0.929076906 -1.409899021
## [255,] 0.8910297 -0.476667863 0.636484128
## [256,] -1.1186650 -0.504608263 -0.173471952
## [257,] 0.8910297 -0.223803508 -0.336610842
## [258,] 0.8910297 -0.788363711 -0.566446626
## [259,] 0.8910297 0.101485416 0.076697176
## [260,] -1.1186650 -0.827410649 -0.708255999
## [261,] -1.1186650 -0.392846661 1.159474940
## [262,] 0.8910297 -0.227118892 -0.043507697
## [263,] -1.1186650 -1.482008400 -0.680664083
## [264,] -1.1186650 -1.829924821 -2.203423434
## [265,] 0.8910297 0.456911182 0.052202735
## [266,] -1.1186650 0.037133808 -0.515719630
## [267,] -1.1186650 -0.133815691 -0.867534719
## [268,] 0.8910297 0.545929249 1.450217362
## [269,] -1.1186650 -0.364607876 1.438979286
## [270,] 0.8910297 0.292434971 2.767355197
## [271,] -1.1186650 -0.828206341 -2.150475803
## [272,] 0.8910297 -0.073102717 -0.048716851
## [273,] 0.8910297 -2.163982935 -0.080111865
## [274,] -1.1186650 -0.683042243 -0.361100094
## [275,] 0.8910297 0.861180847 -0.611181018
## [276,] 0.8910297 -0.666084052 0.568645786
## [277,] -1.1186650 -0.213119682 0.306911713
## [278,] -1.1186650 -0.148461401 -1.702208340
## [279,] -1.1186650 -0.028718011 -1.448620057
## [280,] -1.1186650 -0.431819003 -0.619363127
## [281,] -1.1186650 0.543699653 -0.485507571
## [282,] 0.8910297 0.055683383 1.209480748
## [283,] 0.8910297 -0.137205672 -0.185913737
## [284,] 0.8910297 -1.982929803 -0.845276479
## [285,] 0.8910297 0.620459086 0.504330368
## [286,] -1.1186650 -2.135072785 -1.208666891
## [287,] -1.1186650 1.587506935 0.034712635
## [288,] -1.1186650 2.367948383 1.038803112
## [289,] -1.1186650 0.993133139 1.147110981
## [290,] -1.1186650 -0.868156721 -0.659625118
## [291,] 0.8910297 -0.507807609 0.763615515
## [292,] 0.8910297 -1.021725319 -0.585773419
## [293,] -1.1186650 0.547470903 -0.121670957
## [294,] 0.8910297 -2.816902273 0.622293851
## [295,] 0.8910297 0.418328398 -0.206132935
## [296,] 0.8910297 -0.691993780 -1.118549556
## [297,] -1.1186650 0.365622078 -0.870248253
## [298,] -1.1186650 0.287437029 -0.282563269
## [299,] 0.8910297 0.202919597 -1.552222047
## [300,] -1.1186650 1.360063289 0.685908835
## [301,] 0.8910297 0.994227216 0.592725154
## [302,] 0.8910297 0.349559041 0.886720704
## [303,] -1.1186650 -0.201590433 0.592548749
## [304,] 0.8910297 0.715693498 0.040497702
## [305,] -1.1186650 -0.210243586 0.478191204
## [306,] 0.8910297 -1.284419788 -2.461069047
## [307,] 0.8910297 0.221162498 -1.223983051
## [308,] 0.8910297 0.083632072 0.615356959
## [309,] -1.1186650 -0.447931770 0.961236518
## attr(,"scaled:center")
## GENDER AGE SMOKING
## 0.4757282 62.6731392 0.4368932
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 0.5695793 0.4983819 0.5016181
## CHRONIC_DISEASE FATIGUE ALLERGY
## 0.5048544 0.6731392 0.5566343
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 0.5566343 0.5566343 0.5792880
## SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY CHEST_PAIN
## 0.6407767 0.4692557 0.5566343
## WEIGHT HEIGHT_INCH
## 126.7353818 67.9349857
## attr(,"scaled:scale")
## GENDER AGE SMOKING
## 0.5002206 8.2103014 0.4968061
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 0.4959382 0.5008084 0.5008084
## CHRONIC_DISEASE FATIGUE ALLERGY
## 0.5007874 0.4698268 0.4975880
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 0.4975880 0.4975880 0.4944742
## SHORTNESS_OF_BREATH SWALLOWING_DIFFICULTY CHEST_PAIN
## 0.4805510 0.4998634 0.4975880
## WEIGHT HEIGHT_INCH
## 12.0649666 1.9273761
#as.matrix(scale.emp) %*% fact.load.emp %*% solve(t(fact.load.emp) %*% fact.load.emp + diag(ncol(fact.load.emp)))
